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Finding the Fourth Proportional to 338,734.82, 467,420.37 and 195,541

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Solution

The fourth proportional to 338,734.82, 467,420.37 and 195,541 is: 269,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,734.82 : 467,420.37 = 195,541 : x
  2. Step 2: Convert to fraction form
    338,734.82/467,420.37 = 195,541/x
  3. Step 3: Cross multiply
    338,734.82x = 467,420.37 × 195,541
  4. Step 4: Simplify right side
    338,734.82x = 91,399,846,570.17
  5. Step 5: Solve for x
    x = 91,399,846,570.17/338,734.82
  6. Step 6: Final answer
    x = 269,827.14

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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.