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Finding the Fourth Proportional to 338,178.24, 466,770.20 and 195,024.51

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Solution

The fourth proportional to 338,178.24, 466,770.20 and 195,024.51 is: 269,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,178.24 : 466,770.20 = 195,024.51 : x
  2. Step 2: Convert to fraction form
    338,178.24/466,770.20 = 195,024.51/x
  3. Step 3: Cross multiply
    338,178.24x = 466,770.20 × 195,024.51
  4. Step 4: Simplify right side
    338,178.24x = 91,031,628,562.48
  5. Step 5: Solve for x
    x = 91,031,628,562.48/338,178.24
  6. Step 6: Final answer
    x = 269,182.39

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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.