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Finding the Fourth Proportional to 369,952.25, 510,535.46 and 200,186.38

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Solution

The fourth proportional to 369,952.25, 510,535.46 and 200,186.38 is: 276,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,952.25 : 510,535.46 = 200,186.38 : x
  2. Step 2: Convert to fraction form
    369,952.25/510,535.46 = 200,186.38/x
  3. Step 3: Cross multiply
    369,952.25x = 510,535.46 × 200,186.38
  4. Step 4: Simplify right side
    369,952.25x = 102,202,244,823.16
  5. Step 5: Solve for x
    x = 102,202,244,823.16/369,952.25
  6. Step 6: Final answer
    x = 276,257.93

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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.