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Finding the Fourth Proportional to 465,853.92, 642,880.56 and 264,660.96

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Solution

The fourth proportional to 465,853.92, 642,880.56 and 264,660.96 is: 365,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,853.92 : 642,880.56 = 264,660.96 : x
  2. Step 2: Convert to fraction form
    465,853.92/642,880.56 = 264,660.96/x
  3. Step 3: Cross multiply
    465,853.92x = 642,880.56 × 264,660.96
  4. Step 4: Simplify right side
    465,853.92x = 170,145,386,174.94
  5. Step 5: Solve for x
    x = 170,145,386,174.94/465,853.92
  6. Step 6: Final answer
    x = 365,233.35

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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.