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Finding the Fourth Proportional to 385,076.88, 576,489.24 and 224,662.32

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Solution

The fourth proportional to 385,076.88, 576,489.24 and 224,662.32 is: 336,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,076.88 : 576,489.24 = 224,662.32 : x
  2. Step 2: Convert to fraction form
    385,076.88/576,489.24 = 224,662.32/x
  3. Step 3: Cross multiply
    385,076.88x = 576,489.24 × 224,662.32
  4. Step 4: Simplify right side
    385,076.88x = 129,515,410,113.44
  5. Step 5: Solve for x
    x = 129,515,410,113.44/385,076.88
  6. Step 6: Final answer
    x = 336,336.50

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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.