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Finding the Fourth Proportional to 294,883.92, 406,948.41 and 167,564.88

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Solution

The fourth proportional to 294,883.92, 406,948.41 and 167,564.88 is: 231,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,883.92 : 406,948.41 = 167,564.88 : x
  2. Step 2: Convert to fraction form
    294,883.92/406,948.41 = 167,564.88/x
  3. Step 3: Cross multiply
    294,883.92x = 406,948.41 × 167,564.88
  4. Step 4: Simplify right side
    294,883.92x = 68,190,261,487.84
  5. Step 5: Solve for x
    x = 68,190,261,487.84/294,883.92
  6. Step 6: Final answer
    x = 231,244.42

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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.