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Finding the Fourth Proportional to 584,137.88, 806,475.18 and 447,910.10

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Solution

The fourth proportional to 584,137.88, 806,475.18 and 447,910.10 is: 618,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,137.88 : 806,475.18 = 447,910.10 : x
  2. Step 2: Convert to fraction form
    584,137.88/806,475.18 = 447,910.10/x
  3. Step 3: Cross multiply
    584,137.88x = 806,475.18 × 447,910.10
  4. Step 4: Simplify right side
    584,137.88x = 361,228,378,521.32
  5. Step 5: Solve for x
    x = 361,228,378,521.32/584,137.88
  6. Step 6: Final answer
    x = 618,395.74

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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.