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Finding the Fourth Proportional to 311,962.88, 467,943.96 and 101,600.48

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Solution

The fourth proportional to 311,962.88, 467,943.96 and 101,600.48 is: 152,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,962.88 : 467,943.96 = 101,600.48 : x
  2. Step 2: Convert to fraction form
    311,962.88/467,943.96 = 101,600.48/x
  3. Step 3: Cross multiply
    311,962.88x = 467,943.96 × 101,600.48
  4. Step 4: Simplify right side
    311,962.88x = 47,543,330,949.10
  5. Step 5: Solve for x
    x = 47,543,330,949.10/311,962.88
  6. Step 6: Final answer
    x = 152,400.60

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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.