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Finding the Fourth Proportional to 614,424.87, 847,894.17 and 342,476.54

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Solution

The fourth proportional to 614,424.87, 847,894.17 and 342,476.54 is: 472,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,424.87 : 847,894.17 = 342,476.54 : x
  2. Step 2: Convert to fraction form
    614,424.87/847,894.17 = 342,476.54/x
  3. Step 3: Cross multiply
    614,424.87x = 847,894.17 × 342,476.54
  4. Step 4: Simplify right side
    614,424.87x = 290,383,857,388.30
  5. Step 5: Solve for x
    x = 290,383,857,388.30/614,424.87
  6. Step 6: Final answer
    x = 472,610.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.