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Finding the Fourth Proportional to 273,766.92, 410,311.32 and 155,078.46

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Solution

The fourth proportional to 273,766.92, 410,311.32 and 155,078.46 is: 232,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,766.92 : 410,311.32 = 155,078.46 : x
  2. Step 2: Convert to fraction form
    273,766.92/410,311.32 = 155,078.46/x
  3. Step 3: Cross multiply
    273,766.92x = 410,311.32 × 155,078.46
  4. Step 4: Simplify right side
    273,766.92x = 63,630,447,626.17
  5. Step 5: Solve for x
    x = 63,630,447,626.17/273,766.92
  6. Step 6: Final answer
    x = 232,425.63

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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.