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Finding the Fourth Proportional to 321,263.36, 443,335.84 and 185,297.56

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Solution

The fourth proportional to 321,263.36, 443,335.84 and 185,297.56 is: 255,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,263.36 : 443,335.84 = 185,297.56 : x
  2. Step 2: Convert to fraction form
    321,263.36/443,335.84 = 185,297.56/x
  3. Step 3: Cross multiply
    321,263.36x = 443,335.84 × 185,297.56
  4. Step 4: Simplify right side
    321,263.36x = 82,149,049,412.55
  5. Step 5: Solve for x
    x = 82,149,049,412.55/321,263.36
  6. Step 6: Final answer
    x = 255,706.25

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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.