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Finding the Fourth Proportional to 402,237.96, 603,611.10 and 224,861.46

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Solution

The fourth proportional to 402,237.96, 603,611.10 and 224,861.46 is: 337,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,237.96 : 603,611.10 = 224,861.46 : x
  2. Step 2: Convert to fraction form
    402,237.96/603,611.10 = 224,861.46/x
  3. Step 3: Cross multiply
    402,237.96x = 603,611.10 × 224,861.46
  4. Step 4: Simplify right side
    402,237.96x = 135,728,873,218.21
  5. Step 5: Solve for x
    x = 135,728,873,218.21/402,237.96
  6. Step 6: Final answer
    x = 337,434.27

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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.