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Finding the Fourth Proportional to 582,107.24, 873,305.02 and 278,732.24

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Solution

The fourth proportional to 582,107.24, 873,305.02 and 278,732.24 is: 418,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,107.24 : 873,305.02 = 278,732.24 : x
  2. Step 2: Convert to fraction form
    582,107.24/873,305.02 = 278,732.24/x
  3. Step 3: Cross multiply
    582,107.24x = 873,305.02 × 278,732.24
  4. Step 4: Simplify right side
    582,107.24x = 243,418,260,444.52
  5. Step 5: Solve for x
    x = 243,418,260,444.52/582,107.24
  6. Step 6: Final answer
    x = 418,167.38

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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.