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Finding the Fourth Proportional to 313,327.80, 469,991.70 and 102,972.60

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Solution

The fourth proportional to 313,327.80, 469,991.70 and 102,972.60 is: 154,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,327.80 : 469,991.70 = 102,972.60 : x
  2. Step 2: Convert to fraction form
    313,327.80/469,991.70 = 102,972.60/x
  3. Step 3: Cross multiply
    313,327.80x = 469,991.70 × 102,972.60
  4. Step 4: Simplify right side
    313,327.80x = 48,396,267,327.42
  5. Step 5: Solve for x
    x = 48,396,267,327.42/313,327.80
  6. Step 6: Final answer
    x = 154,458.90

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1.5x scale

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.