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Finding the Fourth Proportional to 582,712.20, 873,809.10 and 267,265.80

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Solution

The fourth proportional to 582,712.20, 873,809.10 and 267,265.80 is: 400,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,712.20 : 873,809.10 = 267,265.80 : x
  2. Step 2: Convert to fraction form
    582,712.20/873,809.10 = 267,265.80/x
  3. Step 3: Cross multiply
    582,712.20x = 873,809.10 × 267,265.80
  4. Step 4: Simplify right side
    582,712.20x = 233,539,288,158.78
  5. Step 5: Solve for x
    x = 233,539,288,158.78/582,712.20
  6. Step 6: Final answer
    x = 400,779.82

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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.