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Finding the Fourth Proportional to 584,099.62, 806,422.38 and 447,871.87

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Solution

The fourth proportional to 584,099.62, 806,422.38 and 447,871.87 is: 618,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,099.62 : 806,422.38 = 447,871.87 : x
  2. Step 2: Convert to fraction form
    584,099.62/806,422.38 = 447,871.87/x
  3. Step 3: Cross multiply
    584,099.62x = 806,422.38 × 447,871.87
  4. Step 4: Simplify right side
    584,099.62x = 361,173,899,340.45
  5. Step 5: Solve for x
    x = 361,173,899,340.45/584,099.62
  6. Step 6: Final answer
    x = 618,342.98

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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.