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Finding the Fourth Proportional to 406,407.78, 560,836.44 and 222,644.88

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Solution

The fourth proportional to 406,407.78, 560,836.44 and 222,644.88 is: 307,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,407.78 : 560,836.44 = 222,644.88 : x
  2. Step 2: Convert to fraction form
    406,407.78/560,836.44 = 222,644.88/x
  3. Step 3: Cross multiply
    406,407.78x = 560,836.44 × 222,644.88
  4. Step 4: Simplify right side
    406,407.78x = 124,867,361,883.43
  5. Step 5: Solve for x
    x = 124,867,361,883.43/406,407.78
  6. Step 6: Final answer
    x = 307,246.49

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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.