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Finding the Fourth Proportional to 465,855.35, 642,865.49 and 261,914.90

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Solution

The fourth proportional to 465,855.35, 642,865.49 and 261,914.90 is: 361,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,855.35 : 642,865.49 = 261,914.90 : x
  2. Step 2: Convert to fraction form
    465,855.35/642,865.49 = 261,914.90/x
  3. Step 3: Cross multiply
    465,855.35x = 642,865.49 × 261,914.90
  4. Step 4: Simplify right side
    465,855.35x = 168,376,050,526.80
  5. Step 5: Solve for x
    x = 168,376,050,526.80/465,855.35
  6. Step 6: Final answer
    x = 361,434.19

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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.