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Finding the Fourth Proportional to 337,534.31, 465,577.89 and 216,483.86

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Solution

The fourth proportional to 337,534.31, 465,577.89 and 216,483.86 is: 298,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,534.31 : 465,577.89 = 216,483.86 : x
  2. Step 2: Convert to fraction form
    337,534.31/465,577.89 = 216,483.86/x
  3. Step 3: Cross multiply
    337,534.31x = 465,577.89 × 216,483.86
  4. Step 4: Simplify right side
    337,534.31x = 100,790,098,757.86
  5. Step 5: Solve for x
    x = 100,790,098,757.86/337,534.31
  6. Step 6: Final answer
    x = 298,606.97

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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.