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Finding the Fourth Proportional to 272,034.10, 408,051.15 and 269,409.70

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Solution

The fourth proportional to 272,034.10, 408,051.15 and 269,409.70 is: 404,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,034.10 : 408,051.15 = 269,409.70 : x
  2. Step 2: Convert to fraction form
    272,034.10/408,051.15 = 269,409.70/x
  3. Step 3: Cross multiply
    272,034.10x = 408,051.15 × 269,409.70
  4. Step 4: Simplify right side
    272,034.10x = 109,932,937,906.16
  5. Step 5: Solve for x
    x = 109,932,937,906.16/272,034.10
  6. Step 6: Final answer
    x = 404,114.55

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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.