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Finding the Fourth Proportional to 580,542.67, 869,488.20 and 277,150.24

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Solution

The fourth proportional to 580,542.67, 869,488.20 and 277,150.24 is: 415,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,542.67 : 869,488.20 = 277,150.24 : x
  2. Step 2: Convert to fraction form
    580,542.67/869,488.20 = 277,150.24/x
  3. Step 3: Cross multiply
    580,542.67x = 869,488.20 × 277,150.24
  4. Step 4: Simplify right side
    580,542.67x = 240,978,863,307.17
  5. Step 5: Solve for x
    x = 240,978,863,307.17/580,542.67
  6. Step 6: Final answer
    x = 415,092.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.