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Finding the Fourth Proportional to 558,711.38, 771,006.92 and 304,057.10

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Solution

The fourth proportional to 558,711.38, 771,006.92 and 304,057.10 is: 419,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,711.38 : 771,006.92 = 304,057.10 : x
  2. Step 2: Convert to fraction form
    558,711.38/771,006.92 = 304,057.10/x
  3. Step 3: Cross multiply
    558,711.38x = 771,006.92 × 304,057.10
  4. Step 4: Simplify right side
    558,711.38x = 234,430,128,175.13
  5. Step 5: Solve for x
    x = 234,430,128,175.13/558,711.38
  6. Step 6: Final answer
    x = 419,590.75

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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.