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Finding the Fourth Proportional to 577,874.30, 865,121.85 and 411,986.30

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Solution

The fourth proportional to 577,874.30, 865,121.85 and 411,986.30 is: 616,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,874.30 : 865,121.85 = 411,986.30 : x
  2. Step 2: Convert to fraction form
    577,874.30/865,121.85 = 411,986.30/x
  3. Step 3: Cross multiply
    577,874.30x = 865,121.85 × 411,986.30
  4. Step 4: Simplify right side
    577,874.30x = 356,418,350,030.66
  5. Step 5: Solve for x
    x = 356,418,350,030.66/577,874.30
  6. Step 6: Final answer
    x = 616,774.88

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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.