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Finding the Fourth Proportional to 313,876.50, 471,022.12 and 147,677.46

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Solution

The fourth proportional to 313,876.50, 471,022.12 and 147,677.46 is: 221,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,876.50 : 471,022.12 = 147,677.46 : x
  2. Step 2: Convert to fraction form
    313,876.50/471,022.12 = 147,677.46/x
  3. Step 3: Cross multiply
    313,876.50x = 471,022.12 × 147,677.46
  4. Step 4: Simplify right side
    313,876.50x = 69,559,350,285.42
  5. Step 5: Solve for x
    x = 69,559,350,285.42/313,876.50
  6. Step 6: Final answer
    x = 221,613.76

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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.