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Finding the Fourth Proportional to 313,874.50, 471,019.11 and 147,675.46

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Solution

The fourth proportional to 313,874.50, 471,019.11 and 147,675.46 is: 221,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,874.50 : 471,019.11 = 147,675.46 : x
  2. Step 2: Convert to fraction form
    313,874.50/471,019.11 = 147,675.46/x
  3. Step 3: Cross multiply
    313,874.50x = 471,019.11 × 147,675.46
  4. Step 4: Simplify right side
    313,874.50x = 69,557,963,738.04
  5. Step 5: Solve for x
    x = 69,557,963,738.04/313,874.50
  6. Step 6: Final answer
    x = 221,610.75

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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.