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Finding the Fourth Proportional to 465,851.92, 642,877.80 and 264,658.96

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Solution

The fourth proportional to 465,851.92, 642,877.80 and 264,658.96 is: 365,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,851.92 : 642,877.80 = 264,658.96 : x
  2. Step 2: Convert to fraction form
    465,851.92/642,877.80 = 264,658.96/x
  3. Step 3: Cross multiply
    465,851.92x = 642,877.80 × 264,658.96
  4. Step 4: Simplify right side
    465,851.92x = 170,143,369,955.09
  5. Step 5: Solve for x
    x = 170,143,369,955.09/465,851.92
  6. Step 6: Final answer
    x = 365,230.59

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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.