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Finding the Fourth Proportional to 380,255.20, 524,799.08 and 216,951.91

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Solution

The fourth proportional to 380,255.20, 524,799.08 and 216,951.91 is: 299,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,255.20 : 524,799.08 = 216,951.91 : x
  2. Step 2: Convert to fraction form
    380,255.20/524,799.08 = 216,951.91/x
  3. Step 3: Cross multiply
    380,255.20x = 524,799.08 × 216,951.91
  4. Step 4: Simplify right side
    380,255.20x = 113,856,161,687.48
  5. Step 5: Solve for x
    x = 113,856,161,687.48/380,255.20
  6. Step 6: Final answer
    x = 299,420.39

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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.