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Finding the Fourth Proportional to 356,930.92, 534,344.44 and 312,644.16

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Solution

The fourth proportional to 356,930.92, 534,344.44 and 312,644.16 is: 468,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,930.92 : 534,344.44 = 312,644.16 : x
  2. Step 2: Convert to fraction form
    356,930.92/534,344.44 = 312,644.16/x
  3. Step 3: Cross multiply
    356,930.92x = 534,344.44 × 312,644.16
  4. Step 4: Simplify right side
    356,930.92x = 167,059,668,594.47
  5. Step 5: Solve for x
    x = 167,059,668,594.47/356,930.92
  6. Step 6: Final answer
    x = 468,044.82

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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.