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Finding the Fourth Proportional to 494,394, 741,151.20 and 178,780.80

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Solution

The fourth proportional to 494,394, 741,151.20 and 178,780.80 is: 268,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,394 : 741,151.20 = 178,780.80 : x
  2. Step 2: Convert to fraction form
    494,394/741,151.20 = 178,780.80/x
  3. Step 3: Cross multiply
    494,394x = 741,151.20 × 178,780.80
  4. Step 4: Simplify right side
    494,394x = 132,503,604,456.96
  5. Step 5: Solve for x
    x = 132,503,604,456.96/494,394
  6. Step 6: Final answer
    x = 268,012.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.