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Finding the Fourth Proportional to 311,019.78, 429,207.93 and 176,883.78

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Solution

The fourth proportional to 311,019.78, 429,207.93 and 176,883.78 is: 244,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,019.78 : 429,207.93 = 176,883.78 : x
  2. Step 2: Convert to fraction form
    311,019.78/429,207.93 = 176,883.78/x
  3. Step 3: Cross multiply
    311,019.78x = 429,207.93 × 176,883.78
  4. Step 4: Simplify right side
    311,019.78x = 75,919,921,064.38
  5. Step 5: Solve for x
    x = 75,919,921,064.38/311,019.78
  6. Step 6: Final answer
    x = 244,099.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.