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Finding the Fourth Proportional to 306,452.97, 460,105.92 and 156,796.56

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Solution

The fourth proportional to 306,452.97, 460,105.92 and 156,796.56 is: 235,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,452.97 : 460,105.92 = 156,796.56 : x
  2. Step 2: Convert to fraction form
    306,452.97/460,105.92 = 156,796.56/x
  3. Step 3: Cross multiply
    306,452.97x = 460,105.92 × 156,796.56
  4. Step 4: Simplify right side
    306,452.97x = 72,143,025,491.64
  5. Step 5: Solve for x
    x = 72,143,025,491.64/306,452.97
  6. Step 6: Final answer
    x = 235,413.04

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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.