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Finding the Fourth Proportional to 361,622.80, 542,434.20 and 98,966.80

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Solution

The fourth proportional to 361,622.80, 542,434.20 and 98,966.80 is: 148,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,622.80 : 542,434.20 = 98,966.80 : x
  2. Step 2: Convert to fraction form
    361,622.80/542,434.20 = 98,966.80/x
  3. Step 3: Cross multiply
    361,622.80x = 542,434.20 × 98,966.80
  4. Step 4: Simplify right side
    361,622.80x = 53,682,976,984.56
  5. Step 5: Solve for x
    x = 53,682,976,984.56/361,622.80
  6. Step 6: Final answer
    x = 148,450.20

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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.