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Finding the Fourth Proportional to 362,871.36, 500,707.44 and 201,727.80

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Solution

The fourth proportional to 362,871.36, 500,707.44 and 201,727.80 is: 278,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,871.36 : 500,707.44 = 201,727.80 : x
  2. Step 2: Convert to fraction form
    362,871.36/500,707.44 = 201,727.80/x
  3. Step 3: Cross multiply
    362,871.36x = 500,707.44 × 201,727.80
  4. Step 4: Simplify right side
    362,871.36x = 101,006,610,314.83
  5. Step 5: Solve for x
    x = 101,006,610,314.83/362,871.36
  6. Step 6: Final answer
    x = 278,353.77

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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.