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Finding the Fourth Proportional to 416,225.17, 574,391.23 and 225,238.56

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Solution

The fourth proportional to 416,225.17, 574,391.23 and 225,238.56 is: 310,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,225.17 : 574,391.23 = 225,238.56 : x
  2. Step 2: Convert to fraction form
    416,225.17/574,391.23 = 225,238.56/x
  3. Step 3: Cross multiply
    416,225.17x = 574,391.23 × 225,238.56
  4. Step 4: Simplify right side
    416,225.17x = 129,375,052,071.73
  5. Step 5: Solve for x
    x = 129,375,052,071.73/416,225.17
  6. Step 6: Final answer
    x = 310,829.48

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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.