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Finding the Fourth Proportional to 398,573.32, 597,729.96 and 132,262.32

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Solution

The fourth proportional to 398,573.32, 597,729.96 and 132,262.32 is: 198,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,573.32 : 597,729.96 = 132,262.32 : x
  2. Step 2: Convert to fraction form
    398,573.32/597,729.96 = 132,262.32/x
  3. Step 3: Cross multiply
    398,573.32x = 597,729.96 × 132,262.32
  4. Step 4: Simplify right side
    398,573.32x = 79,057,151,243.11
  5. Step 5: Solve for x
    x = 79,057,151,243.11/398,573.32
  6. Step 6: Final answer
    x = 198,350.33

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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.