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Finding the Fourth Proportional to 644,100.34, 966,150.57 and 200,868.34

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Solution

The fourth proportional to 644,100.34, 966,150.57 and 200,868.34 is: 301,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,100.34 : 966,150.57 = 200,868.34 : x
  2. Step 2: Convert to fraction form
    644,100.34/966,150.57 = 200,868.34/x
  3. Step 3: Cross multiply
    644,100.34x = 966,150.57 × 200,868.34
  4. Step 4: Simplify right side
    644,100.34x = 194,069,061,185.95
  5. Step 5: Solve for x
    x = 194,069,061,185.95/644,100.34
  6. Step 6: Final answer
    x = 301,302.53

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.