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Finding the Fourth Proportional to 410,558.52, 566,549.10 and 231,699

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Solution

The fourth proportional to 410,558.52, 566,549.10 and 231,699 is: 319,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,558.52 : 566,549.10 = 231,699 : x
  2. Step 2: Convert to fraction form
    410,558.52/566,549.10 = 231,699/x
  3. Step 3: Cross multiply
    410,558.52x = 566,549.10 × 231,699
  4. Step 4: Simplify right side
    410,558.52x = 131,268,859,920.90
  5. Step 5: Solve for x
    x = 131,268,859,920.90/410,558.52
  6. Step 6: Final answer
    x = 319,732.40

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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.