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Finding the Fourth Proportional to 308,966.20, 462,930.90 and 150,854.20

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Solution

The fourth proportional to 308,966.20, 462,930.90 and 150,854.20 is: 226,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,966.20 : 462,930.90 = 150,854.20 : x
  2. Step 2: Convert to fraction form
    308,966.20/462,930.90 = 150,854.20/x
  3. Step 3: Cross multiply
    308,966.20x = 462,930.90 × 150,854.20
  4. Step 4: Simplify right side
    308,966.20x = 69,835,070,574.78
  5. Step 5: Solve for x
    x = 69,835,070,574.78/308,966.20
  6. Step 6: Final answer
    x = 226,028.19

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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.