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Finding the Fourth Proportional to 274,514.42, 411,842.61 and 160,758.30

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Solution

The fourth proportional to 274,514.42, 411,842.61 and 160,758.30 is: 241,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,514.42 : 411,842.61 = 160,758.30 : x
  2. Step 2: Convert to fraction form
    274,514.42/411,842.61 = 160,758.30/x
  3. Step 3: Cross multiply
    274,514.42x = 411,842.61 × 160,758.30
  4. Step 4: Simplify right side
    274,514.42x = 66,207,117,851.16
  5. Step 5: Solve for x
    x = 66,207,117,851.16/274,514.42
  6. Step 6: Final answer
    x = 241,179.02

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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.