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Finding the Fourth Proportional to 369,971.25, 510,560.78 and 200,205.38

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Solution

The fourth proportional to 369,971.25, 510,560.78 and 200,205.38 is: 276,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,971.25 : 510,560.78 = 200,205.38 : x
  2. Step 2: Convert to fraction form
    369,971.25/510,560.78 = 200,205.38/x
  3. Step 3: Cross multiply
    369,971.25x = 510,560.78 × 200,205.38
  4. Step 4: Simplify right side
    369,971.25x = 102,217,011,419.17
  5. Step 5: Solve for x
    x = 102,217,011,419.17/369,971.25
  6. Step 6: Final answer
    x = 276,283.66

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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.