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Finding the Fourth Proportional to 369,959.31, 510,543.95 and 200,193.03

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Solution

The fourth proportional to 369,959.31, 510,543.95 and 200,193.03 is: 276,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,959.31 : 510,543.95 = 200,193.03 : x
  2. Step 2: Convert to fraction form
    369,959.31/510,543.95 = 200,193.03/x
  3. Step 3: Cross multiply
    369,959.31x = 510,543.95 × 200,193.03
  4. Step 4: Simplify right side
    369,959.31x = 102,207,339,297.70
  5. Step 5: Solve for x
    x = 102,207,339,297.70/369,959.31
  6. Step 6: Final answer
    x = 276,266.43

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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.