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Finding the Fourth Proportional to 412,815.61, 618,625.77 and 284,600.29

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Solution

The fourth proportional to 412,815.61, 618,625.77 and 284,600.29 is: 426,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,815.61 : 618,625.77 = 284,600.29 : x
  2. Step 2: Convert to fraction form
    412,815.61/618,625.77 = 284,600.29/x
  3. Step 3: Cross multiply
    412,815.61x = 618,625.77 × 284,600.29
  4. Step 4: Simplify right side
    412,815.61x = 176,061,073,543.47
  5. Step 5: Solve for x
    x = 176,061,073,543.47/412,815.61
  6. Step 6: Final answer
    x = 426,488.41

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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.