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Finding the Fourth Proportional to 398,910.42, 597,945.42 and 132,599.34

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Solution

The fourth proportional to 398,910.42, 597,945.42 and 132,599.34 is: 198,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,910.42 : 597,945.42 = 132,599.34 : x
  2. Step 2: Convert to fraction form
    398,910.42/597,945.42 = 132,599.34/x
  3. Step 3: Cross multiply
    398,910.42x = 597,945.42 × 132,599.34
  4. Step 4: Simplify right side
    398,910.42x = 79,287,168,048.02
  5. Step 5: Solve for x
    x = 79,287,168,048.02/398,910.42
  6. Step 6: Final answer
    x = 198,759.33

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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.