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Finding the Fourth Proportional to 443,466.92, 664,896.84 and 159,151.16

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Solution

The fourth proportional to 443,466.92, 664,896.84 and 159,151.16 is: 238,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,466.92 : 664,896.84 = 159,151.16 : x
  2. Step 2: Convert to fraction form
    443,466.92/664,896.84 = 159,151.16/x
  3. Step 3: Cross multiply
    443,466.92x = 664,896.84 × 159,151.16
  4. Step 4: Simplify right side
    443,466.92x = 105,819,103,366.33
  5. Step 5: Solve for x
    x = 105,819,103,366.33/443,466.92
  6. Step 6: Final answer
    x = 238,617.81

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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.