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Finding the Fourth Proportional to 337,947.34, 466,335.66 and 201,954.22

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Solution

The fourth proportional to 337,947.34, 466,335.66 and 201,954.22 is: 278,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,947.34 : 466,335.66 = 201,954.22 : x
  2. Step 2: Convert to fraction form
    337,947.34/466,335.66 = 201,954.22/x
  3. Step 3: Cross multiply
    337,947.34x = 466,335.66 × 201,954.22
  4. Step 4: Simplify right side
    337,947.34x = 94,178,454,473.49
  5. Step 5: Solve for x
    x = 94,178,454,473.49/337,947.34
  6. Step 6: Final answer
    x = 278,677.90

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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.