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Finding the Fourth Proportional to 398,207.52, 597,116.64 and 173,757.60

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Solution

The fourth proportional to 398,207.52, 597,116.64 and 173,757.60 is: 260,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,207.52 : 597,116.64 = 173,757.60 : x
  2. Step 2: Convert to fraction form
    398,207.52/597,116.64 = 173,757.60/x
  3. Step 3: Cross multiply
    398,207.52x = 597,116.64 × 173,757.60
  4. Step 4: Simplify right side
    398,207.52x = 103,753,554,286.46
  5. Step 5: Solve for x
    x = 103,753,554,286.46/398,207.52
  6. Step 6: Final answer
    x = 260,551.47

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Why These Related Problems?

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