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Finding the Fourth Proportional to 584,791.84, 876,269.22 and 451,997.20

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Solution

The fourth proportional to 584,791.84, 876,269.22 and 451,997.20 is: 677,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,791.84 : 876,269.22 = 451,997.20 : x
  2. Step 2: Convert to fraction form
    584,791.84/876,269.22 = 451,997.20/x
  3. Step 3: Cross multiply
    584,791.84x = 876,269.22 × 451,997.20
  4. Step 4: Simplify right side
    584,791.84x = 396,071,233,886.18
  5. Step 5: Solve for x
    x = 396,071,233,886.18/584,791.84
  6. Step 6: Final answer
    x = 677,285.84

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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.