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Finding the Fourth Proportional to 362,732.86, 500,567.74 and 201,584.67

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Solution

The fourth proportional to 362,732.86, 500,567.74 and 201,584.67 is: 278,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,732.86 : 500,567.74 = 201,584.67 : x
  2. Step 2: Convert to fraction form
    362,732.86/500,567.74 = 201,584.67/x
  3. Step 3: Cross multiply
    362,732.86x = 500,567.74 × 201,584.67
  4. Step 4: Simplify right side
    362,732.86x = 100,906,784,239.52
  5. Step 5: Solve for x
    x = 100,906,784,239.52/362,732.86
  6. Step 6: Final answer
    x = 278,184.85

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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.