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Finding the Fourth Proportional to 257,724.40, 386,123.28 and 242,531.32

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Solution

The fourth proportional to 257,724.40, 386,123.28 and 242,531.32 is: 363,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,724.40 : 386,123.28 = 242,531.32 : x
  2. Step 2: Convert to fraction form
    257,724.40/386,123.28 = 242,531.32/x
  3. Step 3: Cross multiply
    257,724.40x = 386,123.28 × 242,531.32
  4. Step 4: Simplify right side
    257,724.40x = 93,646,988,781.13
  5. Step 5: Solve for x
    x = 93,646,988,781.13/257,724.40
  6. Step 6: Final answer
    x = 363,360.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.