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Finding the Fourth Proportional to 294,813.46, 406,843.92 and 167,496.04

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Solution

The fourth proportional to 294,813.46, 406,843.92 and 167,496.04 is: 231,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,813.46 : 406,843.92 = 167,496.04 : x
  2. Step 2: Convert to fraction form
    294,813.46/406,843.92 = 167,496.04/x
  3. Step 3: Cross multiply
    294,813.46x = 406,843.92 × 167,496.04
  4. Step 4: Simplify right side
    294,813.46x = 68,144,745,498.08
  5. Step 5: Solve for x
    x = 68,144,745,498.08/294,813.46
  6. Step 6: Final answer
    x = 231,145.30

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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.