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Finding the Fourth Proportional to 584,103.87, 806,428.26 and 447,876.14

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Solution

The fourth proportional to 584,103.87, 806,428.26 and 447,876.14 is: 618,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,103.87 : 806,428.26 = 447,876.14 : x
  2. Step 2: Convert to fraction form
    584,103.87/806,428.26 = 447,876.14/x
  3. Step 3: Cross multiply
    584,103.87x = 806,428.26 × 447,876.14
  4. Step 4: Simplify right side
    584,103.87x = 361,179,972,243.58
  5. Step 5: Solve for x
    x = 361,179,972,243.58/584,103.87
  6. Step 6: Final answer
    x = 618,348.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.