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Finding the Fourth Proportional to 414,790.34, 572,421.56 and 233,508.92

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Solution

The fourth proportional to 414,790.34, 572,421.56 and 233,508.92 is: 322,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,790.34 : 572,421.56 = 233,508.92 : x
  2. Step 2: Convert to fraction form
    414,790.34/572,421.56 = 233,508.92/x
  3. Step 3: Cross multiply
    414,790.34x = 572,421.56 × 233,508.92
  4. Step 4: Simplify right side
    414,790.34x = 133,665,536,230.66
  5. Step 5: Solve for x
    x = 133,665,536,230.66/414,790.34
  6. Step 6: Final answer
    x = 322,248.43

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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.