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Finding the Fourth Proportional to 337,996.64, 465,938.42 and 257,283.56

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Solution

The fourth proportional to 337,996.64, 465,938.42 and 257,283.56 is: 354,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,996.64 : 465,938.42 = 257,283.56 : x
  2. Step 2: Convert to fraction form
    337,996.64/465,938.42 = 257,283.56/x
  3. Step 3: Cross multiply
    337,996.64x = 465,938.42 × 257,283.56
  4. Step 4: Simplify right side
    337,996.64x = 119,878,295,438.38
  5. Step 5: Solve for x
    x = 119,878,295,438.38/337,996.64
  6. Step 6: Final answer
    x = 354,673.04

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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.