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Finding the Fourth Proportional to 658,446.24, 987,662.16 and 159,810.24

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Solution

The fourth proportional to 658,446.24, 987,662.16 and 159,810.24 is: 239,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,446.24 : 987,662.16 = 159,810.24 : x
  2. Step 2: Convert to fraction form
    658,446.24/987,662.16 = 159,810.24/x
  3. Step 3: Cross multiply
    658,446.24x = 987,662.16 × 159,810.24
  4. Step 4: Simplify right side
    658,446.24x = 157,838,526,828.52
  5. Step 5: Solve for x
    x = 157,838,526,828.52/658,446.24
  6. Step 6: Final answer
    x = 239,713.61

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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.