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Finding the Fourth Proportional to 229,282.98, 343,691.16 and 212,311.86

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Solution

The fourth proportional to 229,282.98, 343,691.16 and 212,311.86 is: 318,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,282.98 : 343,691.16 = 212,311.86 : x
  2. Step 2: Convert to fraction form
    229,282.98/343,691.16 = 212,311.86/x
  3. Step 3: Cross multiply
    229,282.98x = 343,691.16 × 212,311.86
  4. Step 4: Simplify right side
    229,282.98x = 72,969,709,445.16
  5. Step 5: Solve for x
    x = 72,969,709,445.16/229,282.98
  6. Step 6: Final answer
    x = 318,251.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.