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Finding the Fourth Proportional to 402,615.86, 603,578.19 and 224,977.46

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Solution

The fourth proportional to 402,615.86, 603,578.19 and 224,977.46 is: 337,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,615.86 : 603,578.19 = 224,977.46 : x
  2. Step 2: Convert to fraction form
    402,615.86/603,578.19 = 224,977.46/x
  3. Step 3: Cross multiply
    402,615.86x = 603,578.19 × 224,977.46
  4. Step 4: Simplify right side
    402,615.86x = 135,791,488,097.60
  5. Step 5: Solve for x
    x = 135,791,488,097.60/402,615.86
  6. Step 6: Final answer
    x = 337,273.07

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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.