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Finding the Fourth Proportional to 411,013.29, 567,195.96 and 229,724.91

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Solution

The fourth proportional to 411,013.29, 567,195.96 and 229,724.91 is: 317,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,013.29 : 567,195.96 = 229,724.91 : x
  2. Step 2: Convert to fraction form
    411,013.29/567,195.96 = 229,724.91/x
  3. Step 3: Cross multiply
    411,013.29x = 567,195.96 × 229,724.91
  4. Step 4: Simplify right side
    411,013.29x = 130,299,040,863.36
  5. Step 5: Solve for x
    x = 130,299,040,863.36/411,013.29
  6. Step 6: Final answer
    x = 317,019.05

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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.