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Finding the Fourth Proportional to 416,049, 574,144.20 and 225,062.88

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Solution

The fourth proportional to 416,049, 574,144.20 and 225,062.88 is: 310,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,049 : 574,144.20 = 225,062.88 : x
  2. Step 2: Convert to fraction form
    416,049/574,144.20 = 225,062.88/x
  3. Step 3: Cross multiply
    416,049x = 574,144.20 × 225,062.88
  4. Step 4: Simplify right side
    416,049x = 129,218,547,187.30
  5. Step 5: Solve for x
    x = 129,218,547,187.30/416,049
  6. Step 6: Final answer
    x = 310,584.92

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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.