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Finding the Fourth Proportional to 463,049.73, 694,601.46 and 178,741.62

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Solution

The fourth proportional to 463,049.73, 694,601.46 and 178,741.62 is: 268,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,049.73 : 694,601.46 = 178,741.62 : x
  2. Step 2: Convert to fraction form
    463,049.73/694,601.46 = 178,741.62/x
  3. Step 3: Cross multiply
    463,049.73x = 694,601.46 × 178,741.62
  4. Step 4: Simplify right side
    463,049.73x = 124,154,190,214.77
  5. Step 5: Solve for x
    x = 124,154,190,214.77/463,049.73
  6. Step 6: Final answer
    x = 268,122.80

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Why These Related Problems?

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