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Finding the Fourth Proportional to 465,854.92, 642,881.94 and 264,661.96

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Solution

The fourth proportional to 465,854.92, 642,881.94 and 264,661.96 is: 365,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,854.92 : 642,881.94 = 264,661.96 : x
  2. Step 2: Convert to fraction form
    465,854.92/642,881.94 = 264,661.96/x
  3. Step 3: Cross multiply
    465,854.92x = 642,881.94 × 264,661.96
  4. Step 4: Simplify right side
    465,854.92x = 170,146,394,289.00
  5. Step 5: Solve for x
    x = 170,146,394,289.00/465,854.92
  6. Step 6: Final answer
    x = 365,234.73

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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.