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Finding the Fourth Proportional to 362,923.74, 500,823.81 and 201,782.34

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Solution

The fourth proportional to 362,923.74, 500,823.81 and 201,782.34 is: 278,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,923.74 : 500,823.81 = 201,782.34 : x
  2. Step 2: Convert to fraction form
    362,923.74/500,823.81 = 201,782.34/x
  3. Step 3: Cross multiply
    362,923.74x = 500,823.81 × 201,782.34
  4. Step 4: Simplify right side
    362,923.74x = 101,057,400,309.52
  5. Step 5: Solve for x
    x = 101,057,400,309.52/362,923.74
  6. Step 6: Final answer
    x = 278,453.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.