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Finding the Fourth Proportional to 408,082.10, 612,123.15 and 221,458.10

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Solution

The fourth proportional to 408,082.10, 612,123.15 and 221,458.10 is: 332,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,082.10 : 612,123.15 = 221,458.10 : x
  2. Step 2: Convert to fraction form
    408,082.10/612,123.15 = 221,458.10/x
  3. Step 3: Cross multiply
    408,082.10x = 612,123.15 × 221,458.10
  4. Step 4: Simplify right side
    408,082.10x = 135,559,629,765.02
  5. Step 5: Solve for x
    x = 135,559,629,765.02/408,082.10
  6. Step 6: Final answer
    x = 332,187.15

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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.