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Finding the Fourth Proportional to 465,847.17, 642,865.23 and 261,898.98

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Solution

The fourth proportional to 465,847.17, 642,865.23 and 261,898.98 is: 361,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,847.17 : 642,865.23 = 261,898.98 : x
  2. Step 2: Convert to fraction form
    465,847.17/642,865.23 = 261,898.98/x
  3. Step 3: Cross multiply
    465,847.17x = 642,865.23 × 261,898.98
  4. Step 4: Simplify right side
    465,847.17x = 168,365,748,014.47
  5. Step 5: Solve for x
    x = 168,365,748,014.47/465,847.17
  6. Step 6: Final answer
    x = 361,418.42

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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.