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Finding the Fourth Proportional to 321,336.16, 443,426.82 and 185,362

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Solution

The fourth proportional to 321,336.16, 443,426.82 and 185,362 is: 255,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,336.16 : 443,426.82 = 185,362 : x
  2. Step 2: Convert to fraction form
    321,336.16/443,426.82 = 185,362/x
  3. Step 3: Cross multiply
    321,336.16x = 443,426.82 × 185,362
  4. Step 4: Simplify right side
    321,336.16x = 82,194,482,208.84
  5. Step 5: Solve for x
    x = 82,194,482,208.84/321,336.16
  6. Step 6: Final answer
    x = 255,789.71

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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.