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Finding the Fourth Proportional to 416,213.50, 574,375.14 and 225,226.89

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Solution

The fourth proportional to 416,213.50, 574,375.14 and 225,226.89 is: 310,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,213.50 : 574,375.14 = 225,226.89 : x
  2. Step 2: Convert to fraction form
    416,213.50/574,375.14 = 225,226.89/x
  3. Step 3: Cross multiply
    416,213.50x = 574,375.14 × 225,226.89
  4. Step 4: Simplify right side
    416,213.50x = 129,364,727,397.57
  5. Step 5: Solve for x
    x = 129,364,727,397.57/416,213.50
  6. Step 6: Final answer
    x = 310,813.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.