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Finding the Fourth Proportional to 338,657.66, 467,352.84 and 185,709.82

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Solution

The fourth proportional to 338,657.66, 467,352.84 and 185,709.82 is: 256,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,657.66 : 467,352.84 = 185,709.82 : x
  2. Step 2: Convert to fraction form
    338,657.66/467,352.84 = 185,709.82/x
  3. Step 3: Cross multiply
    338,657.66x = 467,352.84 × 185,709.82
  4. Step 4: Simplify right side
    338,657.66x = 86,792,008,527.58
  5. Step 5: Solve for x
    x = 86,792,008,527.58/338,657.66
  6. Step 6: Final answer
    x = 256,282.43

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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.