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Finding the Fourth Proportional to 351,703.44, 485,385.48 and 200,823.12

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Solution

The fourth proportional to 351,703.44, 485,385.48 and 200,823.12 is: 277,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,703.44 : 485,385.48 = 200,823.12 : x
  2. Step 2: Convert to fraction form
    351,703.44/485,385.48 = 200,823.12/x
  3. Step 3: Cross multiply
    351,703.44x = 485,385.48 × 200,823.12
  4. Step 4: Simplify right side
    351,703.44x = 97,476,626,496.30
  5. Step 5: Solve for x
    x = 97,476,626,496.30/351,703.44
  6. Step 6: Final answer
    x = 277,155.74

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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.