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Finding the Fourth Proportional to 406,395.38, 560,819.25 and 222,632.48

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Solution

The fourth proportional to 406,395.38, 560,819.25 and 222,632.48 is: 307,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,395.38 : 560,819.25 = 222,632.48 : x
  2. Step 2: Convert to fraction form
    406,395.38/560,819.25 = 222,632.48/x
  3. Step 3: Cross multiply
    406,395.38x = 560,819.25 × 222,632.48
  4. Step 4: Simplify right side
    406,395.38x = 124,856,577,655.14
  5. Step 5: Solve for x
    x = 124,856,577,655.14/406,395.38
  6. Step 6: Final answer
    x = 307,229.33

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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.