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Finding the Fourth Proportional to 397,847.20, 596,965.20 and 187,448.80

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Solution

The fourth proportional to 397,847.20, 596,965.20 and 187,448.80 is: 281,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,847.20 : 596,965.20 = 187,448.80 : x
  2. Step 2: Convert to fraction form
    397,847.20/596,965.20 = 187,448.80/x
  3. Step 3: Cross multiply
    397,847.20x = 596,965.20 × 187,448.80
  4. Step 4: Simplify right side
    397,847.20x = 111,900,410,381.76
  5. Step 5: Solve for x
    x = 111,900,410,381.76/397,847.20
  6. Step 6: Final answer
    x = 281,264.79

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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.