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Finding the Fourth Proportional to 354,193.38, 488,787.05 and 201,231.84

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Solution

The fourth proportional to 354,193.38, 488,787.05 and 201,231.84 is: 277,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,193.38 : 488,787.05 = 201,231.84 : x
  2. Step 2: Convert to fraction form
    354,193.38/488,787.05 = 201,231.84/x
  3. Step 3: Cross multiply
    354,193.38x = 488,787.05 × 201,231.84
  4. Step 4: Simplify right side
    354,193.38x = 98,359,513,989.58
  5. Step 5: Solve for x
    x = 98,359,513,989.58/354,193.38
  6. Step 6: Final answer
    x = 277,700.03

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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.