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Finding the Fourth Proportional to 361,877.20, 542,815.80 and 328,634.80

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Solution

The fourth proportional to 361,877.20, 542,815.80 and 328,634.80 is: 492,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,877.20 : 542,815.80 = 328,634.80 : x
  2. Step 2: Convert to fraction form
    361,877.20/542,815.80 = 328,634.80/x
  3. Step 3: Cross multiply
    361,877.20x = 542,815.80 × 328,634.80
  4. Step 4: Simplify right side
    361,877.20x = 178,388,161,869.84
  5. Step 5: Solve for x
    x = 178,388,161,869.84/361,877.20
  6. Step 6: Final answer
    x = 492,952.20

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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.