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Finding the Fourth Proportional to 385,771.68, 533,380.34 and 337,887.32

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Solution

The fourth proportional to 385,771.68, 533,380.34 and 337,887.32 is: 467,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,771.68 : 533,380.34 = 337,887.32 : x
  2. Step 2: Convert to fraction form
    385,771.68/533,380.34 = 337,887.32/x
  3. Step 3: Cross multiply
    385,771.68x = 533,380.34 × 337,887.32
  4. Step 4: Simplify right side
    385,771.68x = 180,222,451,801.11
  5. Step 5: Solve for x
    x = 180,222,451,801.11/385,771.68
  6. Step 6: Final answer
    x = 467,173.88

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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.