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Finding the Fourth Proportional to 313,991.70, 471,016.35 and 103,630.10

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Solution

The fourth proportional to 313,991.70, 471,016.35 and 103,630.10 is: 155,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,991.70 : 471,016.35 = 103,630.10 : x
  2. Step 2: Convert to fraction form
    313,991.70/471,016.35 = 103,630.10/x
  3. Step 3: Cross multiply
    313,991.70x = 471,016.35 × 103,630.10
  4. Step 4: Simplify right side
    313,991.70x = 48,811,471,452.14
  5. Step 5: Solve for x
    x = 48,811,471,452.14/313,991.70
  6. Step 6: Final answer
    x = 155,454.66

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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.