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Finding the Fourth Proportional to 274,348.34, 411,514.77 and 74,670.46

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Solution

The fourth proportional to 274,348.34, 411,514.77 and 74,670.46 is: 112,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,348.34 : 411,514.77 = 74,670.46 : x
  2. Step 2: Convert to fraction form
    274,348.34/411,514.77 = 74,670.46/x
  3. Step 3: Cross multiply
    274,348.34x = 411,514.77 × 74,670.46
  4. Step 4: Simplify right side
    274,348.34x = 30,727,995,115.12
  5. Step 5: Solve for x
    x = 30,727,995,115.12/274,348.34
  6. Step 6: Final answer
    x = 112,003.58

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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.