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Finding the Fourth Proportional to 311,508.96, 429,882.56 and 168,269

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Solution

The fourth proportional to 311,508.96, 429,882.56 and 168,269 is: 232,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,508.96 : 429,882.56 = 168,269 : x
  2. Step 2: Convert to fraction form
    311,508.96/429,882.56 = 168,269/x
  3. Step 3: Cross multiply
    311,508.96x = 429,882.56 × 168,269
  4. Step 4: Simplify right side
    311,508.96x = 72,335,908,488.64
  5. Step 5: Solve for x
    x = 72,335,908,488.64/311,508.96
  6. Step 6: Final answer
    x = 232,211.33

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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.