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Finding the Fourth Proportional to 417,174.35, 625,046.27 and 280,140.58

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Solution

The fourth proportional to 417,174.35, 625,046.27 and 280,140.58 is: 419,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,174.35 : 625,046.27 = 280,140.58 : x
  2. Step 2: Convert to fraction form
    417,174.35/625,046.27 = 280,140.58/x
  3. Step 3: Cross multiply
    417,174.35x = 625,046.27 × 280,140.58
  4. Step 4: Simplify right side
    417,174.35x = 175,100,822,045.15
  5. Step 5: Solve for x
    x = 175,100,822,045.15/417,174.35
  6. Step 6: Final answer
    x = 419,730.56

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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.