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Finding the Fourth Proportional to 362,932.72, 500,846.70 and 201,782.68

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Solution

The fourth proportional to 362,932.72, 500,846.70 and 201,782.68 is: 278,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,932.72 : 500,846.70 = 201,782.68 : x
  2. Step 2: Convert to fraction form
    362,932.72/500,846.70 = 201,782.68/x
  3. Step 3: Cross multiply
    362,932.72x = 500,846.70 × 201,782.68
  4. Step 4: Simplify right side
    362,932.72x = 101,062,189,395.16
  5. Step 5: Solve for x
    x = 101,062,189,395.16/362,932.72
  6. Step 6: Final answer
    x = 278,459.85

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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.