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Finding the Fourth Proportional to 720,843.92, 994,740.24 and 414,877.83

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Solution

The fourth proportional to 720,843.92, 994,740.24 and 414,877.83 is: 572,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,843.92 : 994,740.24 = 414,877.83 : x
  2. Step 2: Convert to fraction form
    720,843.92/994,740.24 = 414,877.83/x
  3. Step 3: Cross multiply
    720,843.92x = 994,740.24 × 414,877.83
  4. Step 4: Simplify right side
    720,843.92x = 412,695,672,184.88
  5. Step 5: Solve for x
    x = 412,695,672,184.88/720,843.92
  6. Step 6: Final answer
    x = 572,517.38

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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.