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Finding the Fourth Proportional to 331,593.78, 457,583.13 and 188,335.02

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Solution

The fourth proportional to 331,593.78, 457,583.13 and 188,335.02 is: 259,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,593.78 : 457,583.13 = 188,335.02 : x
  2. Step 2: Convert to fraction form
    331,593.78/457,583.13 = 188,335.02/x
  3. Step 3: Cross multiply
    331,593.78x = 457,583.13 × 188,335.02
  4. Step 4: Simplify right side
    331,593.78x = 86,178,927,940.21
  5. Step 5: Solve for x
    x = 86,178,927,940.21/331,593.78
  6. Step 6: Final answer
    x = 259,893.08

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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.