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Finding the Fourth Proportional to 410,540.77, 566,549.01 and 229,254.85

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Solution

The fourth proportional to 410,540.77, 566,549.01 and 229,254.85 is: 316,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,540.77 : 566,549.01 = 229,254.85 : x
  2. Step 2: Convert to fraction form
    410,540.77/566,549.01 = 229,254.85/x
  3. Step 3: Cross multiply
    410,540.77x = 566,549.01 × 229,254.85
  4. Step 4: Simplify right side
    410,540.77x = 129,884,108,305.20
  5. Step 5: Solve for x
    x = 129,884,108,305.20/410,540.77
  6. Step 6: Final answer
    x = 316,373.23

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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.