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Finding the Fourth Proportional to 311,921.88, 430,494.31 and 175,983.72

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Solution

The fourth proportional to 311,921.88, 430,494.31 and 175,983.72 is: 242,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921.88 : 430,494.31 = 175,983.72 : x
  2. Step 2: Convert to fraction form
    311,921.88/430,494.31 = 175,983.72/x
  3. Step 3: Cross multiply
    311,921.88x = 430,494.31 × 175,983.72
  4. Step 4: Simplify right side
    311,921.88x = 75,759,987,520.20
  5. Step 5: Solve for x
    x = 75,759,987,520.20/311,921.88
  6. Step 6: Final answer
    x = 242,881.29

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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.