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Finding the Fourth Proportional to 362,265.13, 499,942.02 and 201,122.38

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Solution

The fourth proportional to 362,265.13, 499,942.02 and 201,122.38 is: 277,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,265.13 : 499,942.02 = 201,122.38 : x
  2. Step 2: Convert to fraction form
    362,265.13/499,942.02 = 201,122.38/x
  3. Step 3: Cross multiply
    362,265.13x = 499,942.02 × 201,122.38
  4. Step 4: Simplify right side
    362,265.13x = 100,549,528,924.41
  5. Step 5: Solve for x
    x = 100,549,528,924.41/362,265.13
  6. Step 6: Final answer
    x = 277,557.85

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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.