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Finding the Fourth Proportional to 331,338.88, 457,292.84 and 195,411.16

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Solution

The fourth proportional to 331,338.88, 457,292.84 and 195,411.16 is: 269,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,338.88 : 457,292.84 = 195,411.16 : x
  2. Step 2: Convert to fraction form
    331,338.88/457,292.84 = 195,411.16/x
  3. Step 3: Cross multiply
    331,338.88x = 457,292.84 × 195,411.16
  4. Step 4: Simplify right side
    331,338.88x = 89,360,124,324.09
  5. Step 5: Solve for x
    x = 89,360,124,324.09/331,338.88
  6. Step 6: Final answer
    x = 269,694.05

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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.