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Finding the Fourth Proportional to 274,514.86, 411,760.16 and 74,835.26

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Solution

The fourth proportional to 274,514.86, 411,760.16 and 74,835.26 is: 112,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,514.86 : 411,760.16 = 74,835.26 : x
  2. Step 2: Convert to fraction form
    274,514.86/411,760.16 = 74,835.26/x
  3. Step 3: Cross multiply
    274,514.86x = 411,760.16 × 74,835.26
  4. Step 4: Simplify right side
    274,514.86x = 30,814,178,631.24
  5. Step 5: Solve for x
    x = 30,814,178,631.24/274,514.86
  6. Step 6: Final answer
    x = 112,249.58

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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.