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Finding the Fourth Proportional to 274,518.70, 411,470.85 and 156,246.70

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Solution

The fourth proportional to 274,518.70, 411,470.85 and 156,246.70 is: 234,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,518.70 : 411,470.85 = 156,246.70 : x
  2. Step 2: Convert to fraction form
    274,518.70/411,470.85 = 156,246.70/x
  3. Step 3: Cross multiply
    274,518.70x = 411,470.85 × 156,246.70
  4. Step 4: Simplify right side
    274,518.70x = 64,290,962,458.70
  5. Step 5: Solve for x
    x = 64,290,962,458.70/274,518.70
  6. Step 6: Final answer
    x = 234,195.20

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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.