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Finding the Fourth Proportional to 468,434.97, 702,654.12 and 113,449.23

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Solution

The fourth proportional to 468,434.97, 702,654.12 and 113,449.23 is: 170,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,434.97 : 702,654.12 = 113,449.23 : x
  2. Step 2: Convert to fraction form
    468,434.97/702,654.12 = 113,449.23/x
  3. Step 3: Cross multiply
    468,434.97x = 702,654.12 × 113,449.23
  4. Step 4: Simplify right side
    468,434.97x = 79,715,568,870.33
  5. Step 5: Solve for x
    x = 79,715,568,870.33/468,434.97
  6. Step 6: Final answer
    x = 170,174.25

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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.