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Finding the Fourth Proportional to 518,789.38, 715,807.45 and 314,835.70

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Solution

The fourth proportional to 518,789.38, 715,807.45 and 314,835.70 is: 434,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,789.38 : 715,807.45 = 314,835.70 : x
  2. Step 2: Convert to fraction form
    518,789.38/715,807.45 = 314,835.70/x
  3. Step 3: Cross multiply
    518,789.38x = 715,807.45 × 314,835.70
  4. Step 4: Simplify right side
    518,789.38x = 225,361,739,585.97
  5. Step 5: Solve for x
    x = 225,361,739,585.97/518,789.38
  6. Step 6: Final answer
    x = 434,399.29

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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.