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Finding the Fourth Proportional to 296,842.52, 409,394.44 and 194,788.60

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Solution

The fourth proportional to 296,842.52, 409,394.44 and 194,788.60 is: 268,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,842.52 : 409,394.44 = 194,788.60 : x
  2. Step 2: Convert to fraction form
    296,842.52/409,394.44 = 194,788.60/x
  3. Step 3: Cross multiply
    296,842.52x = 409,394.44 × 194,788.60
  4. Step 4: Simplify right side
    296,842.52x = 79,745,369,815.38
  5. Step 5: Solve for x
    x = 79,745,369,815.38/296,842.52
  6. Step 6: Final answer
    x = 268,645.37

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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.