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Finding the Fourth Proportional to 461,760.60, 691,389.72 and 239,678.04

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Solution

The fourth proportional to 461,760.60, 691,389.72 and 239,678.04 is: 358,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,760.60 : 691,389.72 = 239,678.04 : x
  2. Step 2: Convert to fraction form
    461,760.60/691,389.72 = 239,678.04/x
  3. Step 3: Cross multiply
    461,760.60x = 691,389.72 × 239,678.04
  4. Step 4: Simplify right side
    461,760.60x = 165,710,932,965.75
  5. Step 5: Solve for x
    x = 165,710,932,965.75/461,760.60
  6. Step 6: Final answer
    x = 358,867.63

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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.