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Finding the Fourth Proportional to 402,177.51, 603,520.50 and 224,800.87

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Solution

The fourth proportional to 402,177.51, 603,520.50 and 224,800.87 is: 337,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,177.51 : 603,520.50 = 224,800.87 : x
  2. Step 2: Convert to fraction form
    402,177.51/603,520.50 = 224,800.87/x
  3. Step 3: Cross multiply
    402,177.51x = 603,520.50 × 224,800.87
  4. Step 4: Simplify right side
    402,177.51x = 135,671,933,462.84
  5. Step 5: Solve for x
    x = 135,671,933,462.84/402,177.51
  6. Step 6: Final answer
    x = 337,343.41

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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.