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Finding the Fourth Proportional to 413,543.80, 580,142.30 and 413,543.80

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Solution

The fourth proportional to 413,543.80, 580,142.30 and 413,543.80 is: 580,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,543.80 : 580,142.30 = 413,543.80 : x
  2. Step 2: Convert to fraction form
    413,543.80/580,142.30 = 413,543.80/x
  3. Step 3: Cross multiply
    413,543.80x = 580,142.30 × 413,543.80
  4. Step 4: Simplify right side
    413,543.80x = 239,914,251,282.74
  5. Step 5: Solve for x
    x = 239,914,251,282.74/413,543.80
  6. Step 6: Final answer
    x = 580,142.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.