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Finding the Fourth Proportional to 416,229.10, 574,396.16 and 225,242.48

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Solution

The fourth proportional to 416,229.10, 574,396.16 and 225,242.48 is: 310,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,229.10 : 574,396.16 = 225,242.48 : x
  2. Step 2: Convert to fraction form
    416,229.10/574,396.16 = 225,242.48/x
  3. Step 3: Cross multiply
    416,229.10x = 574,396.16 × 225,242.48
  4. Step 4: Simplify right side
    416,229.10x = 129,378,415,580.88
  5. Step 5: Solve for x
    x = 129,378,415,580.88/416,229.10
  6. Step 6: Final answer
    x = 310,834.62

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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.