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Finding the Fourth Proportional to 273,877.30, 410,815.95 and 185,403.70

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Solution

The fourth proportional to 273,877.30, 410,815.95 and 185,403.70 is: 278,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,877.30 : 410,815.95 = 185,403.70 : x
  2. Step 2: Convert to fraction form
    273,877.30/410,815.95 = 185,403.70/x
  3. Step 3: Cross multiply
    273,877.30x = 410,815.95 × 185,403.70
  4. Step 4: Simplify right side
    273,877.30x = 76,166,797,149.02
  5. Step 5: Solve for x
    x = 76,166,797,149.02/273,877.30
  6. Step 6: Final answer
    x = 278,105.55

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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.