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Finding the Fourth Proportional to 242,893.20, 364,339.80 and 217,305.30

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Solution

The fourth proportional to 242,893.20, 364,339.80 and 217,305.30 is: 325,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,893.20 : 364,339.80 = 217,305.30 : x
  2. Step 2: Convert to fraction form
    242,893.20/364,339.80 = 217,305.30/x
  3. Step 3: Cross multiply
    242,893.20x = 364,339.80 × 217,305.30
  4. Step 4: Simplify right side
    242,893.20x = 79,172,969,540.94
  5. Step 5: Solve for x
    x = 79,172,969,540.94/242,893.20
  6. Step 6: Final answer
    x = 325,957.95

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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.