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Finding the Fourth Proportional to 443,954.73, 665,725.05 and 230,665.31

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Solution

The fourth proportional to 443,954.73, 665,725.05 and 230,665.31 is: 345,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,954.73 : 665,725.05 = 230,665.31 : x
  2. Step 2: Convert to fraction form
    443,954.73/665,725.05 = 230,665.31/x
  3. Step 3: Cross multiply
    443,954.73x = 665,725.05 × 230,665.31
  4. Step 4: Simplify right side
    443,954.73x = 153,559,671,704.39
  5. Step 5: Solve for x
    x = 153,559,671,704.39/443,954.73
  6. Step 6: Final answer
    x = 345,890.38

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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.