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Finding the Fourth Proportional to 328,044.22, 452,734.47 and 200,803.90

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Solution

The fourth proportional to 328,044.22, 452,734.47 and 200,803.90 is: 277,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,044.22 : 452,734.47 = 200,803.90 : x
  2. Step 2: Convert to fraction form
    328,044.22/452,734.47 = 200,803.90/x
  3. Step 3: Cross multiply
    328,044.22x = 452,734.47 × 200,803.90
  4. Step 4: Simplify right side
    328,044.22x = 90,910,847,240.43
  5. Step 5: Solve for x
    x = 90,910,847,240.43/328,044.22
  6. Step 6: Final answer
    x = 277,129.86

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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.