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Finding the Fourth Proportional to 294,791.72, 406,823.46 and 167,488.88

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Solution

The fourth proportional to 294,791.72, 406,823.46 and 167,488.88 is: 231,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,791.72 : 406,823.46 = 167,488.88 : x
  2. Step 2: Convert to fraction form
    294,791.72/406,823.46 = 167,488.88/x
  3. Step 3: Cross multiply
    294,791.72x = 406,823.46 × 167,488.88
  4. Step 4: Simplify right side
    294,791.72x = 68,138,405,673.12
  5. Step 5: Solve for x
    x = 68,138,405,673.12/294,791.72
  6. Step 6: Final answer
    x = 231,140.84

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1.5x scale

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.