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Finding the Fourth Proportional to 294,809.14, 406,851.02 and 165,788.20

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Solution

The fourth proportional to 294,809.14, 406,851.02 and 165,788.20 is: 228,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.14 : 406,851.02 = 165,788.20 : x
  2. Step 2: Convert to fraction form
    294,809.14/406,851.02 = 165,788.20/x
  3. Step 3: Cross multiply
    294,809.14x = 406,851.02 × 165,788.20
  4. Step 4: Simplify right side
    294,809.14x = 67,451,098,273.96
  5. Step 5: Solve for x
    x = 67,451,098,273.96/294,809.14
  6. Step 6: Final answer
    x = 228,795.82

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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.