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Finding the Fourth Proportional to 397,285.20, 596,158.20 and 147,992.40

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Solution

The fourth proportional to 397,285.20, 596,158.20 and 147,992.40 is: 222,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,285.20 : 596,158.20 = 147,992.40 : x
  2. Step 2: Convert to fraction form
    397,285.20/596,158.20 = 147,992.40/x
  3. Step 3: Cross multiply
    397,285.20x = 596,158.20 × 147,992.40
  4. Step 4: Simplify right side
    397,285.20x = 88,226,882,797.68
  5. Step 5: Solve for x
    x = 88,226,882,797.68/397,285.20
  6. Step 6: Final answer
    x = 222,074.43

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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.