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Finding the Fourth Proportional to 465,846.67, 642,864.54 and 261,898.48

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Solution

The fourth proportional to 465,846.67, 642,864.54 and 261,898.48 is: 361,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,846.67 : 642,864.54 = 261,898.48 : x
  2. Step 2: Convert to fraction form
    465,846.67/642,864.54 = 261,898.48/x
  3. Step 3: Cross multiply
    465,846.67x = 642,864.54 × 261,898.48
  4. Step 4: Simplify right side
    465,846.67x = 168,365,245,871.90
  5. Step 5: Solve for x
    x = 168,365,245,871.90/465,846.67
  6. Step 6: Final answer
    x = 361,417.73

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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.