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Finding the Fourth Proportional to 274,255.20, 411,382.80 and 163,663.20

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Solution

The fourth proportional to 274,255.20, 411,382.80 and 163,663.20 is: 245,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,255.20 : 411,382.80 = 163,663.20 : x
  2. Step 2: Convert to fraction form
    274,255.20/411,382.80 = 163,663.20/x
  3. Step 3: Cross multiply
    274,255.20x = 411,382.80 × 163,663.20
  4. Step 4: Simplify right side
    274,255.20x = 67,328,225,472.96
  5. Step 5: Solve for x
    x = 67,328,225,472.96/274,255.20
  6. Step 6: Final answer
    x = 245,494.80

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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.