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Finding the Fourth Proportional to 274,447.40, 411,930.30 and 169,471.40

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Solution

The fourth proportional to 274,447.40, 411,930.30 and 169,471.40 is: 254,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,447.40 : 411,930.30 = 169,471.40 : x
  2. Step 2: Convert to fraction form
    274,447.40/411,930.30 = 169,471.40/x
  3. Step 3: Cross multiply
    274,447.40x = 411,930.30 × 169,471.40
  4. Step 4: Simplify right side
    274,447.40x = 69,810,404,643.42
  5. Step 5: Solve for x
    x = 69,810,404,643.42/274,447.40
  6. Step 6: Final answer
    x = 254,367.16

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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.