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Finding the Fourth Proportional to 429,856.32, 593,183.76 and 238,868

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Solution

The fourth proportional to 429,856.32, 593,183.76 and 238,868 is: 329,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,856.32 : 593,183.76 = 238,868 : x
  2. Step 2: Convert to fraction form
    429,856.32/593,183.76 = 238,868/x
  3. Step 3: Cross multiply
    429,856.32x = 593,183.76 × 238,868
  4. Step 4: Simplify right side
    429,856.32x = 141,692,618,383.68
  5. Step 5: Solve for x
    x = 141,692,618,383.68/429,856.32
  6. Step 6: Final answer
    x = 329,627.86

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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.