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Finding the Fourth Proportional to 361,164.92, 498,490.52 and 240,311.28

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Solution

The fourth proportional to 361,164.92, 498,490.52 and 240,311.28 is: 331,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,164.92 : 498,490.52 = 240,311.28 : x
  2. Step 2: Convert to fraction form
    361,164.92/498,490.52 = 240,311.28/x
  3. Step 3: Cross multiply
    361,164.92x = 498,490.52 × 240,311.28
  4. Step 4: Simplify right side
    361,164.92x = 119,792,894,929.07
  5. Step 5: Solve for x
    x = 119,792,894,929.07/361,164.92
  6. Step 6: Final answer
    x = 331,684.75

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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.