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Finding the Fourth Proportional to 410,891.30, 567,019.12 and 229,604.72

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Solution

The fourth proportional to 410,891.30, 567,019.12 and 229,604.72 is: 316,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,891.30 : 567,019.12 = 229,604.72 : x
  2. Step 2: Convert to fraction form
    410,891.30/567,019.12 = 229,604.72/x
  3. Step 3: Cross multiply
    410,891.30x = 567,019.12 × 229,604.72
  4. Step 4: Simplify right side
    410,891.30x = 130,190,266,282.25
  5. Step 5: Solve for x
    x = 130,190,266,282.25/410,891.30
  6. Step 6: Final answer
    x = 316,848.44

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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.