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Finding the Fourth Proportional to 362,909.32, 500,786.42 and 201,754.56

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Solution

The fourth proportional to 362,909.32, 500,786.42 and 201,754.56 is: 278,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,909.32 : 500,786.42 = 201,754.56 : x
  2. Step 2: Convert to fraction form
    362,909.32/500,786.42 = 201,754.56/x
  3. Step 3: Cross multiply
    362,909.32x = 500,786.42 × 201,754.56
  4. Step 4: Simplify right side
    362,909.32x = 101,035,943,821.08
  5. Step 5: Solve for x
    x = 101,035,943,821.08/362,909.32
  6. Step 6: Final answer
    x = 278,405.48

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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.