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Finding the Fourth Proportional to 362,891.68, 500,762.15 and 201,736.91

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Solution

The fourth proportional to 362,891.68, 500,762.15 and 201,736.91 is: 278,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,891.68 : 500,762.15 = 201,736.91 : x
  2. Step 2: Convert to fraction form
    362,891.68/500,762.15 = 201,736.91/x
  3. Step 3: Cross multiply
    362,891.68x = 500,762.15 × 201,736.91
  4. Step 4: Simplify right side
    362,891.68x = 101,022,209,785.69
  5. Step 5: Solve for x
    x = 101,022,209,785.69/362,891.68
  6. Step 6: Final answer
    x = 278,381.17

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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.