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Finding the Fourth Proportional to 397,575.20, 596,362.80 and 148,224.80

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Solution

The fourth proportional to 397,575.20, 596,362.80 and 148,224.80 is: 222,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,575.20 : 596,362.80 = 148,224.80 : x
  2. Step 2: Convert to fraction form
    397,575.20/596,362.80 = 148,224.80/x
  3. Step 3: Cross multiply
    397,575.20x = 596,362.80 × 148,224.80
  4. Step 4: Simplify right side
    397,575.20x = 88,395,756,757.44
  5. Step 5: Solve for x
    x = 88,395,756,757.44/397,575.20
  6. Step 6: Final answer
    x = 222,337.20

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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.