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Finding the Fourth Proportional to 415,515.80, 623,273.70 and 135,061.40

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Solution

The fourth proportional to 415,515.80, 623,273.70 and 135,061.40 is: 202,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,515.80 : 623,273.70 = 135,061.40 : x
  2. Step 2: Convert to fraction form
    415,515.80/623,273.70 = 135,061.40/x
  3. Step 3: Cross multiply
    415,515.80x = 623,273.70 × 135,061.40
  4. Step 4: Simplify right side
    415,515.80x = 84,180,218,505.18
  5. Step 5: Solve for x
    x = 84,180,218,505.18/415,515.80
  6. Step 6: Final answer
    x = 202,592.10

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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.