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Finding the Fourth Proportional to 465,098.49, 641,867.62 and 258,391.11

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Solution

The fourth proportional to 465,098.49, 641,867.62 and 258,391.11 is: 356,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,098.49 : 641,867.62 = 258,391.11 : x
  2. Step 2: Convert to fraction form
    465,098.49/641,867.62 = 258,391.11/x
  3. Step 3: Cross multiply
    465,098.49x = 641,867.62 × 258,391.11
  4. Step 4: Simplify right side
    465,098.49x = 165,852,885,896.96
  5. Step 5: Solve for x
    x = 165,852,885,896.96/465,098.49
  6. Step 6: Final answer
    x = 356,597.34

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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.