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Finding the Fourth Proportional to 331,262.10, 457,143.89 and 188,024.54

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Solution

The fourth proportional to 331,262.10, 457,143.89 and 188,024.54 is: 259,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,262.10 : 457,143.89 = 188,024.54 : x
  2. Step 2: Convert to fraction form
    331,262.10/457,143.89 = 188,024.54/x
  3. Step 3: Cross multiply
    331,262.10x = 457,143.89 × 188,024.54
  4. Step 4: Simplify right side
    331,262.10x = 85,954,266,405.22
  5. Step 5: Solve for x
    x = 85,954,266,405.22/331,262.10
  6. Step 6: Final answer
    x = 259,475.10

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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.