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Finding the Fourth Proportional to 309,790.97, 464,253.92 and 167,329.10

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Solution

The fourth proportional to 309,790.97, 464,253.92 and 167,329.10 is: 250,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,790.97 : 464,253.92 = 167,329.10 : x
  2. Step 2: Convert to fraction form
    309,790.97/464,253.92 = 167,329.10/x
  3. Step 3: Cross multiply
    309,790.97x = 464,253.92 × 167,329.10
  4. Step 4: Simplify right side
    309,790.97x = 77,683,187,447.16
  5. Step 5: Solve for x
    x = 77,683,187,447.16/309,790.97
  6. Step 6: Final answer
    x = 250,760.02

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Why These Related Problems?

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