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Finding the Fourth Proportional to 412,953.28, 619,371.60 and 132,434.08

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Solution

The fourth proportional to 412,953.28, 619,371.60 and 132,434.08 is: 198,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,953.28 : 619,371.60 = 132,434.08 : x
  2. Step 2: Convert to fraction form
    412,953.28/619,371.60 = 132,434.08/x
  3. Step 3: Cross multiply
    412,953.28x = 619,371.60 × 132,434.08
  4. Step 4: Simplify right side
    412,953.28x = 82,025,908,024.13
  5. Step 5: Solve for x
    x = 82,025,908,024.13/412,953.28
  6. Step 6: Final answer
    x = 198,632.42

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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.