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Finding the Fourth Proportional to 410,387.52, 566,344.32 and 257,432.16

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Solution

The fourth proportional to 410,387.52, 566,344.32 and 257,432.16 is: 355,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,387.52 : 566,344.32 = 257,432.16 : x
  2. Step 2: Convert to fraction form
    410,387.52/566,344.32 = 257,432.16/x
  3. Step 3: Cross multiply
    410,387.52x = 566,344.32 × 257,432.16
  4. Step 4: Simplify right side
    410,387.52x = 145,795,241,601.33
  5. Step 5: Solve for x
    x = 145,795,241,601.33/410,387.52
  6. Step 6: Final answer
    x = 355,262.37

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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.