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Finding the Fourth Proportional to 313,367.28, 469,930.96 and 133,340.10

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Solution

The fourth proportional to 313,367.28, 469,930.96 and 133,340.10 is: 199,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,367.28 : 469,930.96 = 133,340.10 : x
  2. Step 2: Convert to fraction form
    313,367.28/469,930.96 = 133,340.10/x
  3. Step 3: Cross multiply
    313,367.28x = 469,930.96 × 133,340.10
  4. Step 4: Simplify right side
    313,367.28x = 62,660,641,199.50
  5. Step 5: Solve for x
    x = 62,660,641,199.50/313,367.28
  6. Step 6: Final answer
    x = 199,959.11

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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.