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Finding the Fourth Proportional to 416,232.40, 574,404.96 and 225,250.24

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Solution

The fourth proportional to 416,232.40, 574,404.96 and 225,250.24 is: 310,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,232.40 : 574,404.96 = 225,250.24 : x
  2. Step 2: Convert to fraction form
    416,232.40/574,404.96 = 225,250.24/x
  3. Step 3: Cross multiply
    416,232.40x = 574,404.96 × 225,250.24
  4. Step 4: Simplify right side
    416,232.40x = 129,384,855,097.19
  5. Step 5: Solve for x
    x = 129,384,855,097.19/416,232.40
  6. Step 6: Final answer
    x = 310,847.63

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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.