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Finding the Fourth Proportional to 338,765.84, 467,463.15 and 195,572.01

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Solution

The fourth proportional to 338,765.84, 467,463.15 and 195,572.01 is: 269,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,765.84 : 467,463.15 = 195,572.01 : x
  2. Step 2: Convert to fraction form
    338,765.84/467,463.15 = 195,572.01/x
  3. Step 3: Cross multiply
    338,765.84x = 467,463.15 × 195,572.01
  4. Step 4: Simplify right side
    338,765.84x = 91,422,707,846.43
  5. Step 5: Solve for x
    x = 91,422,707,846.43/338,765.84
  6. Step 6: Final answer
    x = 269,869.92

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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.