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Finding the Fourth Proportional to 416,105.76, 574,224 and 225,119.52

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Solution

The fourth proportional to 416,105.76, 574,224 and 225,119.52 is: 310,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,105.76 : 574,224 = 225,119.52 : x
  2. Step 2: Convert to fraction form
    416,105.76/574,224 = 225,119.52/x
  3. Step 3: Cross multiply
    416,105.76x = 574,224 × 225,119.52
  4. Step 4: Simplify right side
    416,105.76x = 129,269,031,252.48
  5. Step 5: Solve for x
    x = 129,269,031,252.48/416,105.76
  6. Step 6: Final answer
    x = 310,663.88

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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.