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Finding the Fourth Proportional to 412,891.20, 619,185.60 and 324,317.16

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Solution

The fourth proportional to 412,891.20, 619,185.60 and 324,317.16 is: 486,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,891.20 : 619,185.60 = 324,317.16 : x
  2. Step 2: Convert to fraction form
    412,891.20/619,185.60 = 324,317.16/x
  3. Step 3: Cross multiply
    412,891.20x = 619,185.60 × 324,317.16
  4. Step 4: Simplify right side
    412,891.20x = 200,812,515,304.90
  5. Step 5: Solve for x
    x = 200,812,515,304.90/412,891.20
  6. Step 6: Final answer
    x = 486,356.98

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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.