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Finding the Fourth Proportional to 465,849.64, 642,869.22 and 264,645.64

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Solution

The fourth proportional to 465,849.64, 642,869.22 and 264,645.64 is: 365,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,849.64 : 642,869.22 = 264,645.64 : x
  2. Step 2: Convert to fraction form
    465,849.64/642,869.22 = 264,645.64/x
  3. Step 3: Cross multiply
    465,849.64x = 642,869.22 × 264,645.64
  4. Step 4: Simplify right side
    465,849.64x = 170,132,536,163.20
  5. Step 5: Solve for x
    x = 170,132,536,163.20/465,849.64
  6. Step 6: Final answer
    x = 365,209.12

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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.