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Finding the Fourth Proportional to 402,375.12, 603,564 and 149,711.28

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Solution

The fourth proportional to 402,375.12, 603,564 and 149,711.28 is: 224,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,375.12 : 603,564 = 149,711.28 : x
  2. Step 2: Convert to fraction form
    402,375.12/603,564 = 149,711.28/x
  3. Step 3: Cross multiply
    402,375.12x = 603,564 × 149,711.28
  4. Step 4: Simplify right side
    402,375.12x = 90,360,339,001.92
  5. Step 5: Solve for x
    x = 90,360,339,001.92/402,375.12
  6. Step 6: Final answer
    x = 224,567.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.