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Finding the Fourth Proportional to 272,310.30, 408,465.45 and 209,251.80

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Solution

The fourth proportional to 272,310.30, 408,465.45 and 209,251.80 is: 313,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,310.30 : 408,465.45 = 209,251.80 : x
  2. Step 2: Convert to fraction form
    272,310.30/408,465.45 = 209,251.80/x
  3. Step 3: Cross multiply
    272,310.30x = 408,465.45 × 209,251.80
  4. Step 4: Simplify right side
    272,310.30x = 85,472,130,650.31
  5. Step 5: Solve for x
    x = 85,472,130,650.31/272,310.30
  6. Step 6: Final answer
    x = 313,877.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.