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Finding the Fourth Proportional to 313,251.20, 469,876.80 and 218,772.80

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Solution

The fourth proportional to 313,251.20, 469,876.80 and 218,772.80 is: 328,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,251.20 : 469,876.80 = 218,772.80 : x
  2. Step 2: Convert to fraction form
    313,251.20/469,876.80 = 218,772.80/x
  3. Step 3: Cross multiply
    313,251.20x = 469,876.80 × 218,772.80
  4. Step 4: Simplify right side
    313,251.20x = 102,796,263,191.04
  5. Step 5: Solve for x
    x = 102,796,263,191.04/313,251.20
  6. Step 6: Final answer
    x = 328,159.20

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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.