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Finding the Fourth Proportional to 411,747.36, 568,221.44 and 230,457.76

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Solution

The fourth proportional to 411,747.36, 568,221.44 and 230,457.76 is: 318,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,747.36 : 568,221.44 = 230,457.76 : x
  2. Step 2: Convert to fraction form
    411,747.36/568,221.44 = 230,457.76/x
  3. Step 3: Cross multiply
    411,747.36x = 568,221.44 × 230,457.76
  4. Step 4: Simplify right side
    411,747.36x = 130,951,040,246.37
  5. Step 5: Solve for x
    x = 130,951,040,246.37/411,747.36
  6. Step 6: Final answer
    x = 318,037.35

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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.