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Finding the Fourth Proportional to 503,552.16, 755,052.16 and 199,638.44

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Solution

The fourth proportional to 503,552.16, 755,052.16 and 199,638.44 is: 299,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,552.16 : 755,052.16 = 199,638.44 : x
  2. Step 2: Convert to fraction form
    503,552.16/755,052.16 = 199,638.44/x
  3. Step 3: Cross multiply
    503,552.16x = 755,052.16 × 199,638.44
  4. Step 4: Simplify right side
    503,552.16x = 150,737,435,341.03
  5. Step 5: Solve for x
    x = 150,737,435,341.03/503,552.16
  6. Step 6: Final answer
    x = 299,348.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.