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Finding the Fourth Proportional to 414,136.80, 571,610.26 and 253,126.82

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Solution

The fourth proportional to 414,136.80, 571,610.26 and 253,126.82 is: 349,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,136.80 : 571,610.26 = 253,126.82 : x
  2. Step 2: Convert to fraction form
    414,136.80/571,610.26 = 253,126.82/x
  3. Step 3: Cross multiply
    414,136.80x = 571,610.26 × 253,126.82
  4. Step 4: Simplify right side
    414,136.80x = 144,689,887,706.99
  5. Step 5: Solve for x
    x = 144,689,887,706.99/414,136.80
  6. Step 6: Final answer
    x = 349,377.04

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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.