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Finding the Fourth Proportional to 402,414.30, 603,237.45 and 149,627.10

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Solution

The fourth proportional to 402,414.30, 603,237.45 and 149,627.10 is: 224,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,414.30 : 603,237.45 = 149,627.10 : x
  2. Step 2: Convert to fraction form
    402,414.30/603,237.45 = 149,627.10/x
  3. Step 3: Cross multiply
    402,414.30x = 603,237.45 × 149,627.10
  4. Step 4: Simplify right side
    402,414.30x = 90,260,670,254.90
  5. Step 5: Solve for x
    x = 90,260,670,254.90/402,414.30
  6. Step 6: Final answer
    x = 224,297.87

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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.