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Finding the Fourth Proportional to 362,915.93, 500,795.49 and 201,761.17

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Solution

The fourth proportional to 362,915.93, 500,795.49 and 201,761.17 is: 278,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,915.93 : 500,795.49 = 201,761.17 : x
  2. Step 2: Convert to fraction form
    362,915.93/500,795.49 = 201,761.17/x
  3. Step 3: Cross multiply
    362,915.93x = 500,795.49 × 201,761.17
  4. Step 4: Simplify right side
    362,915.93x = 101,041,083,497.74
  5. Step 5: Solve for x
    x = 101,041,083,497.74/362,915.93
  6. Step 6: Final answer
    x = 278,414.57

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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.