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Finding the Fourth Proportional to 414,121.64, 571,469.46 and 253,246.28

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Solution

The fourth proportional to 414,121.64, 571,469.46 and 253,246.28 is: 349,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,121.64 : 571,469.46 = 253,246.28 : x
  2. Step 2: Convert to fraction form
    414,121.64/571,469.46 = 253,246.28/x
  3. Step 3: Cross multiply
    414,121.64x = 571,469.46 × 253,246.28
  4. Step 4: Simplify right side
    414,121.64x = 144,722,514,878.61
  5. Step 5: Solve for x
    x = 144,722,514,878.61/414,121.64
  6. Step 6: Final answer
    x = 349,468.61

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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.