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Finding the Fourth Proportional to 415,713.70, 623,754.15 and 202,363.30

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Solution

The fourth proportional to 415,713.70, 623,754.15 and 202,363.30 is: 303,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,713.70 : 623,754.15 = 202,363.30 : x
  2. Step 2: Convert to fraction form
    415,713.70/623,754.15 = 202,363.30/x
  3. Step 3: Cross multiply
    415,713.70x = 623,754.15 × 202,363.30
  4. Step 4: Simplify right side
    415,713.70x = 126,224,948,182.70
  5. Step 5: Solve for x
    x = 126,224,948,182.70/415,713.70
  6. Step 6: Final answer
    x = 303,634.32

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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.