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Finding the Fourth Proportional to 416,402.40, 625,018.32 and 229,501.92

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Solution

The fourth proportional to 416,402.40, 625,018.32 and 229,501.92 is: 344,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,402.40 : 625,018.32 = 229,501.92 : x
  2. Step 2: Convert to fraction form
    416,402.40/625,018.32 = 229,501.92/x
  3. Step 3: Cross multiply
    416,402.40x = 625,018.32 × 229,501.92
  4. Step 4: Simplify right side
    416,402.40x = 143,442,904,475.17
  5. Step 5: Solve for x
    x = 143,442,904,475.17/416,402.40
  6. Step 6: Final answer
    x = 344,481.45

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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.