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Finding the Fourth Proportional to 397,169.75, 595,567.41 and 144,271.95

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Solution

The fourth proportional to 397,169.75, 595,567.41 and 144,271.95 is: 216,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,169.75 : 595,567.41 = 144,271.95 : x
  2. Step 2: Convert to fraction form
    397,169.75/595,567.41 = 144,271.95/x
  3. Step 3: Cross multiply
    397,169.75x = 595,567.41 × 144,271.95
  4. Step 4: Simplify right side
    397,169.75x = 85,923,673,086.07
  5. Step 5: Solve for x
    x = 85,923,673,086.07/397,169.75
  6. Step 6: Final answer
    x = 216,339.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.