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Finding the Fourth Proportional to 406,833.14, 561,443.39 and 225,534.26

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Solution

The fourth proportional to 406,833.14, 561,443.39 and 225,534.26 is: 311,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,833.14 : 561,443.39 = 225,534.26 : x
  2. Step 2: Convert to fraction form
    406,833.14/561,443.39 = 225,534.26/x
  3. Step 3: Cross multiply
    406,833.14x = 561,443.39 × 225,534.26
  4. Step 4: Simplify right side
    406,833.14x = 126,624,720,937.76
  5. Step 5: Solve for x
    x = 126,624,720,937.76/406,833.14
  6. Step 6: Final answer
    x = 311,244.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.