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Finding the Fourth Proportional to 406,361.12, 560,753.69 and 225,062.19

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Solution

The fourth proportional to 406,361.12, 560,753.69 and 225,062.19 is: 310,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,361.12 : 560,753.69 = 225,062.19 : x
  2. Step 2: Convert to fraction form
    406,361.12/560,753.69 = 225,062.19/x
  3. Step 3: Cross multiply
    406,361.12x = 560,753.69 × 225,062.19
  4. Step 4: Simplify right side
    406,361.12x = 126,204,452,396.67
  5. Step 5: Solve for x
    x = 126,204,452,396.67/406,361.12
  6. Step 6: Final answer
    x = 310,572.17

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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.