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Finding the Fourth Proportional to 311,024.52, 466,610.81 and 100,662.46

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Solution

The fourth proportional to 311,024.52, 466,610.81 and 100,662.46 is: 151,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,024.52 : 466,610.81 = 100,662.46 : x
  2. Step 2: Convert to fraction form
    311,024.52/466,610.81 = 100,662.46/x
  3. Step 3: Cross multiply
    311,024.52x = 466,610.81 × 100,662.46
  4. Step 4: Simplify right side
    311,024.52x = 46,970,191,997.19
  5. Step 5: Solve for x
    x = 46,970,191,997.19/311,024.52
  6. Step 6: Final answer
    x = 151,017.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.