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Finding the Fourth Proportional to 415,084.20, 569,079.90 and 407,517.39

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Solution

The fourth proportional to 415,084.20, 569,079.90 and 407,517.39 is: 558,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,084.20 : 569,079.90 = 407,517.39 : x
  2. Step 2: Convert to fraction form
    415,084.20/569,079.90 = 407,517.39/x
  3. Step 3: Cross multiply
    415,084.20x = 569,079.90 × 407,517.39
  4. Step 4: Simplify right side
    415,084.20x = 231,909,955,549.46
  5. Step 5: Solve for x
    x = 231,909,955,549.46/415,084.20
  6. Step 6: Final answer
    x = 558,705.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.