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Finding the Fourth Proportional to 465,375.44, 642,148.16 and 261,387.27

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Solution

The fourth proportional to 465,375.44, 642,148.16 and 261,387.27 is: 360,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,375.44 : 642,148.16 = 261,387.27 : x
  2. Step 2: Convert to fraction form
    465,375.44/642,148.16 = 261,387.27/x
  3. Step 3: Cross multiply
    465,375.44x = 642,148.16 × 261,387.27
  4. Step 4: Simplify right side
    465,375.44x = 167,849,353,170.99
  5. Step 5: Solve for x
    x = 167,849,353,170.99/465,375.44
  6. Step 6: Final answer
    x = 360,675.14

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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.