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Finding the Fourth Proportional to 294,819.60, 406,851.12 and 167,495.40

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Solution

The fourth proportional to 294,819.60, 406,851.12 and 167,495.40 is: 231,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,819.60 : 406,851.12 = 167,495.40 : x
  2. Step 2: Convert to fraction form
    294,819.60/406,851.12 = 167,495.40/x
  3. Step 3: Cross multiply
    294,819.60x = 406,851.12 × 167,495.40
  4. Step 4: Simplify right side
    294,819.60x = 68,145,691,084.85
  5. Step 5: Solve for x
    x = 68,145,691,084.85/294,819.60
  6. Step 6: Final answer
    x = 231,143.69

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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.