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Finding the Fourth Proportional to 398,529.28, 597,378.71 and 173,829.38

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Solution

The fourth proportional to 398,529.28, 597,378.71 and 173,829.38 is: 260,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,529.28 : 597,378.71 = 173,829.38 : x
  2. Step 2: Convert to fraction form
    398,529.28/597,378.71 = 173,829.38/x
  3. Step 3: Cross multiply
    398,529.28x = 597,378.71 × 173,829.38
  4. Step 4: Simplify right side
    398,529.28x = 103,841,970,784.50
  5. Step 5: Solve for x
    x = 103,841,970,784.50/398,529.28
  6. Step 6: Final answer
    x = 260,562.96

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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.