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Finding the Fourth Proportional to 362,908.32, 500,785.04 and 201,753.56

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Solution

The fourth proportional to 362,908.32, 500,785.04 and 201,753.56 is: 278,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,908.32 : 500,785.04 = 201,753.56 : x
  2. Step 2: Convert to fraction form
    362,908.32/500,785.04 = 201,753.56/x
  3. Step 3: Cross multiply
    362,908.32x = 500,785.04 × 201,753.56
  4. Step 4: Simplify right side
    362,908.32x = 101,035,164,614.74
  5. Step 5: Solve for x
    x = 101,035,164,614.74/362,908.32
  6. Step 6: Final answer
    x = 278,404.10

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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.