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Finding the Fourth Proportional to 644,101.84, 966,152.82 and 200,869.84

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Solution

The fourth proportional to 644,101.84, 966,152.82 and 200,869.84 is: 301,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,101.84 : 966,152.82 = 200,869.84 : x
  2. Step 2: Convert to fraction form
    644,101.84/966,152.82 = 200,869.84/x
  3. Step 3: Cross multiply
    644,101.84x = 966,152.82 × 200,869.84
  4. Step 4: Simplify right side
    644,101.84x = 194,070,962,368.95
  5. Step 5: Solve for x
    x = 194,070,962,368.95/644,101.84
  6. Step 6: Final answer
    x = 301,304.78

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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.