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Finding the Fourth Proportional to 398,534.82, 597,672.23 and 132,223.83

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Solution

The fourth proportional to 398,534.82, 597,672.23 and 132,223.83 is: 198,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,534.82 : 597,672.23 = 132,223.83 : x
  2. Step 2: Convert to fraction form
    398,534.82/597,672.23 = 132,223.83/x
  3. Step 3: Cross multiply
    398,534.82x = 597,672.23 × 132,223.83
  4. Step 4: Simplify right side
    398,534.82x = 79,026,510,674.12
  5. Step 5: Solve for x
    x = 79,026,510,674.12/398,534.82
  6. Step 6: Final answer
    x = 198,292.61

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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.