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Finding the Fourth Proportional to 307,842.90, 460,930.23 and 159,787.86

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Solution

The fourth proportional to 307,842.90, 460,930.23 and 159,787.86 is: 239,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,842.90 : 460,930.23 = 159,787.86 : x
  2. Step 2: Convert to fraction form
    307,842.90/460,930.23 = 159,787.86/x
  3. Step 3: Cross multiply
    307,842.90x = 460,930.23 × 159,787.86
  4. Step 4: Simplify right side
    307,842.90x = 73,651,055,061.01
  5. Step 5: Solve for x
    x = 73,651,055,061.01/307,842.90
  6. Step 6: Final answer
    x = 239,248.83

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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.