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Finding the Fourth Proportional to 407,722.80, 611,584.20 and 344,737.20

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Solution

The fourth proportional to 407,722.80, 611,584.20 and 344,737.20 is: 517,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,722.80 : 611,584.20 = 344,737.20 : x
  2. Step 2: Convert to fraction form
    407,722.80/611,584.20 = 344,737.20/x
  3. Step 3: Cross multiply
    407,722.80x = 611,584.20 × 344,737.20
  4. Step 4: Simplify right side
    407,722.80x = 210,835,824,672.24
  5. Step 5: Solve for x
    x = 210,835,824,672.24/407,722.80
  6. Step 6: Final answer
    x = 517,105.80

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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.