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Finding the Fourth Proportional to 397,245.20, 596,098.20 and 147,952.40

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Solution

The fourth proportional to 397,245.20, 596,098.20 and 147,952.40 is: 222,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,245.20 : 596,098.20 = 147,952.40 : x
  2. Step 2: Convert to fraction form
    397,245.20/596,098.20 = 147,952.40/x
  3. Step 3: Cross multiply
    397,245.20x = 596,098.20 × 147,952.40
  4. Step 4: Simplify right side
    397,245.20x = 88,194,159,325.68
  5. Step 5: Solve for x
    x = 88,194,159,325.68/397,245.20
  6. Step 6: Final answer
    x = 222,014.41

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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.