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Finding the Fourth Proportional to 465,965.52, 643,029.12 and 264,761.52

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Solution

The fourth proportional to 465,965.52, 643,029.12 and 264,761.52 is: 365,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,965.52 : 643,029.12 = 264,761.52 : x
  2. Step 2: Convert to fraction form
    465,965.52/643,029.12 = 264,761.52/x
  3. Step 3: Cross multiply
    465,965.52x = 643,029.12 × 264,761.52
  4. Step 4: Simplify right side
    465,965.52x = 170,249,367,215.46
  5. Step 5: Solve for x
    x = 170,249,367,215.46/465,965.52
  6. Step 6: Final answer
    x = 365,369.02

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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.