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Finding the Fourth Proportional to 466,231.77, 643,398.84 and 262,282.82

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Solution

The fourth proportional to 466,231.77, 643,398.84 and 262,282.82 is: 361,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,231.77 : 643,398.84 = 262,282.82 : x
  2. Step 2: Convert to fraction form
    466,231.77/643,398.84 = 262,282.82/x
  3. Step 3: Cross multiply
    466,231.77x = 643,398.84 × 262,282.82
  4. Step 4: Simplify right side
    466,231.77x = 168,752,458,922.94
  5. Step 5: Solve for x
    x = 168,752,458,922.94/466,231.77
  6. Step 6: Final answer
    x = 361,949.72

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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.