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Finding the Fourth Proportional to 643,921.20, 965,881.80 and 200,689.20

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Solution

The fourth proportional to 643,921.20, 965,881.80 and 200,689.20 is: 301,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,921.20 : 965,881.80 = 200,689.20 : x
  2. Step 2: Convert to fraction form
    643,921.20/965,881.80 = 200,689.20/x
  3. Step 3: Cross multiply
    643,921.20x = 965,881.80 × 200,689.20
  4. Step 4: Simplify right side
    643,921.20x = 193,842,045,736.56
  5. Step 5: Solve for x
    x = 193,842,045,736.56/643,921.20
  6. Step 6: Final answer
    x = 301,033.80

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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.