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Finding the Fourth Proportional to 312,822.42, 469,234.17 and 76,165.26

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Solution

The fourth proportional to 312,822.42, 469,234.17 and 76,165.26 is: 114,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,822.42 : 469,234.17 = 76,165.26 : x
  2. Step 2: Convert to fraction form
    312,822.42/469,234.17 = 76,165.26/x
  3. Step 3: Cross multiply
    312,822.42x = 469,234.17 × 76,165.26
  4. Step 4: Simplify right side
    312,822.42x = 35,739,342,558.93
  5. Step 5: Solve for x
    x = 35,739,342,558.93/312,822.42
  6. Step 6: Final answer
    x = 114,248.02

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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.