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Finding the Fourth Proportional to 463,135.11, 694,689.71 and 147,610.95

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Solution

The fourth proportional to 463,135.11, 694,689.71 and 147,610.95 is: 221,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,135.11 : 694,689.71 = 147,610.95 : x
  2. Step 2: Convert to fraction form
    463,135.11/694,689.71 = 147,610.95/x
  3. Step 3: Cross multiply
    463,135.11x = 694,689.71 × 147,610.95
  4. Step 4: Simplify right side
    463,135.11x = 102,543,807,310.27
  5. Step 5: Solve for x
    x = 102,543,807,310.27/463,135.11
  6. Step 6: Final answer
    x = 221,412.29

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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.