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Finding the Fourth Proportional to 354,167.30, 488,764.05 and 201,231.41

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Solution

The fourth proportional to 354,167.30, 488,764.05 and 201,231.41 is: 277,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,167.30 : 488,764.05 = 201,231.41 : x
  2. Step 2: Convert to fraction form
    354,167.30/488,764.05 = 201,231.41/x
  3. Step 3: Cross multiply
    354,167.30x = 488,764.05 × 201,231.41
  4. Step 4: Simplify right side
    354,167.30x = 98,354,680,160.72
  5. Step 5: Solve for x
    x = 98,354,680,160.72/354,167.30
  6. Step 6: Final answer
    x = 277,706.84

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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.