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Finding the Fourth Proportional to 663,891.61, 994,155.77 and 411,664.74

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Solution

The fourth proportional to 663,891.61, 994,155.77 and 411,664.74 is: 616,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,891.61 : 994,155.77 = 411,664.74 : x
  2. Step 2: Convert to fraction form
    663,891.61/994,155.77 = 411,664.74/x
  3. Step 3: Cross multiply
    663,891.61x = 994,155.77 × 411,664.74
  4. Step 4: Simplify right side
    663,891.61x = 409,258,876,576.55
  5. Step 5: Solve for x
    x = 409,258,876,576.55/663,891.61
  6. Step 6: Final answer
    x = 616,454.36

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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.