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Finding the Fourth Proportional to 654,451.60, 902,839.96 and 382,531

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Solution

The fourth proportional to 654,451.60, 902,839.96 and 382,531 is: 527,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,451.60 : 902,839.96 = 382,531 : x
  2. Step 2: Convert to fraction form
    654,451.60/902,839.96 = 382,531/x
  3. Step 3: Cross multiply
    654,451.60x = 902,839.96 × 382,531
  4. Step 4: Simplify right side
    654,451.60x = 345,364,272,738.76
  5. Step 5: Solve for x
    x = 345,364,272,738.76/654,451.60
  6. Step 6: Final answer
    x = 527,715.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.