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Finding the Fourth Proportional to 402,367.59, 603,595.13 and 149,618.43

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Solution

The fourth proportional to 402,367.59, 603,595.13 and 149,618.43 is: 224,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,367.59 : 603,595.13 = 149,618.43 : x
  2. Step 2: Convert to fraction form
    402,367.59/603,595.13 = 149,618.43/x
  3. Step 3: Cross multiply
    402,367.59x = 603,595.13 × 149,618.43
  4. Step 4: Simplify right side
    402,367.59x = 90,308,954,958.15
  5. Step 5: Solve for x
    x = 90,308,954,958.15/402,367.59
  6. Step 6: Final answer
    x = 224,443.91

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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.