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Finding the Fourth Proportional to 362,875.44, 500,785.19 and 201,733.17

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Solution

The fourth proportional to 362,875.44, 500,785.19 and 201,733.17 is: 278,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,875.44 : 500,785.19 = 201,733.17 : x
  2. Step 2: Convert to fraction form
    362,875.44/500,785.19 = 201,733.17/x
  3. Step 3: Cross multiply
    362,875.44x = 500,785.19 × 201,733.17
  4. Step 4: Simplify right side
    362,875.44x = 101,024,982,859.09
  5. Step 5: Solve for x
    x = 101,024,982,859.09/362,875.44
  6. Step 6: Final answer
    x = 278,401.27

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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.