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Finding the Fourth Proportional to 398,526.94, 597,660.42 and 132,215.96

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Solution

The fourth proportional to 398,526.94, 597,660.42 and 132,215.96 is: 198,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,526.94 : 597,660.42 = 132,215.96 : x
  2. Step 2: Convert to fraction form
    398,526.94/597,660.42 = 132,215.96/x
  3. Step 3: Cross multiply
    398,526.94x = 597,660.42 × 132,215.96
  4. Step 4: Simplify right side
    398,526.94x = 79,020,246,184.30
  5. Step 5: Solve for x
    x = 79,020,246,184.30/398,526.94
  6. Step 6: Final answer
    x = 198,280.81

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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.