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Finding the Fourth Proportional to 415,200.68, 573,070.20 and 271,877.48

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Solution

The fourth proportional to 415,200.68, 573,070.20 and 271,877.48 is: 375,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,200.68 : 573,070.20 = 271,877.48 : x
  2. Step 2: Convert to fraction form
    415,200.68/573,070.20 = 271,877.48/x
  3. Step 3: Cross multiply
    415,200.68x = 573,070.20 × 271,877.48
  4. Step 4: Simplify right side
    415,200.68x = 155,804,881,839.10
  5. Step 5: Solve for x
    x = 155,804,881,839.10/415,200.68
  6. Step 6: Final answer
    x = 375,251.99

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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.