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Finding the Fourth Proportional to 406,091.49, 560,412.87 and 222,326.96

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Solution

The fourth proportional to 406,091.49, 560,412.87 and 222,326.96 is: 306,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,091.49 : 560,412.87 = 222,326.96 : x
  2. Step 2: Convert to fraction form
    406,091.49/560,412.87 = 222,326.96/x
  3. Step 3: Cross multiply
    406,091.49x = 560,412.87 × 222,326.96
  4. Step 4: Simplify right side
    406,091.49x = 124,594,888,197.73
  5. Step 5: Solve for x
    x = 124,594,888,197.73/406,091.49
  6. Step 6: Final answer
    x = 306,814.82

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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.