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Finding the Fourth Proportional to 465,862.32, 642,890.52 and 264,697.20

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Solution

The fourth proportional to 465,862.32, 642,890.52 and 264,697.20 is: 365,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,862.32 : 642,890.52 = 264,697.20 : x
  2. Step 2: Convert to fraction form
    465,862.32/642,890.52 = 264,697.20/x
  3. Step 3: Cross multiply
    465,862.32x = 642,890.52 × 264,697.20
  4. Step 4: Simplify right side
    465,862.32x = 170,171,320,550.54
  5. Step 5: Solve for x
    x = 170,171,320,550.54/465,862.32
  6. Step 6: Final answer
    x = 365,282.43

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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.