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Finding the Fourth Proportional to 294,839.42, 406,879.60 and 167,522

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Solution

The fourth proportional to 294,839.42, 406,879.60 and 167,522 is: 231,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,839.42 : 406,879.60 = 167,522 : x
  2. Step 2: Convert to fraction form
    294,839.42/406,879.60 = 167,522/x
  3. Step 3: Cross multiply
    294,839.42x = 406,879.60 × 167,522
  4. Step 4: Simplify right side
    294,839.42x = 68,161,284,351.20
  5. Step 5: Solve for x
    x = 68,161,284,351.20/294,839.42
  6. Step 6: Final answer
    x = 231,181.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.