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Finding the Fourth Proportional to 313,265.70, 469,898.55 and 225,348.30

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Solution

The fourth proportional to 313,265.70, 469,898.55 and 225,348.30 is: 338,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,265.70 : 469,898.55 = 225,348.30 : x
  2. Step 2: Convert to fraction form
    313,265.70/469,898.55 = 225,348.30/x
  3. Step 3: Cross multiply
    313,265.70x = 469,898.55 × 225,348.30
  4. Step 4: Simplify right side
    313,265.70x = 105,890,839,414.97
  5. Step 5: Solve for x
    x = 105,890,839,414.97/313,265.70
  6. Step 6: Final answer
    x = 338,022.45

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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.