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Finding the Fourth Proportional to 465,842.54, 642,885.51 and 261,957.65

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Solution

The fourth proportional to 465,842.54, 642,885.51 and 261,957.65 is: 361,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,842.54 : 642,885.51 = 261,957.65 : x
  2. Step 2: Convert to fraction form
    465,842.54/642,885.51 = 261,957.65/x
  3. Step 3: Cross multiply
    465,842.54x = 642,885.51 × 261,957.65
  4. Step 4: Simplify right side
    465,842.54x = 168,408,773,713.05
  5. Step 5: Solve for x
    x = 168,408,773,713.05/465,842.54
  6. Step 6: Final answer
    x = 361,514.37

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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.