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Finding the Fourth Proportional to 298,253.13, 411,589.31 and 164,117.13

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Solution

The fourth proportional to 298,253.13, 411,589.31 and 164,117.13 is: 226,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,253.13 : 411,589.31 = 164,117.13 : x
  2. Step 2: Convert to fraction form
    298,253.13/411,589.31 = 164,117.13/x
  3. Step 3: Cross multiply
    298,253.13x = 411,589.31 × 164,117.13
  4. Step 4: Simplify right side
    298,253.13x = 67,548,856,295.88
  5. Step 5: Solve for x
    x = 67,548,856,295.88/298,253.13
  6. Step 6: Final answer
    x = 226,481.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.