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Finding the Fourth Proportional to 429,833.28, 593,175.84 and 238,843.20

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Solution

The fourth proportional to 429,833.28, 593,175.84 and 238,843.20 is: 329,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,833.28 : 593,175.84 = 238,843.20 : x
  2. Step 2: Convert to fraction form
    429,833.28/593,175.84 = 238,843.20/x
  3. Step 3: Cross multiply
    429,833.28x = 593,175.84 × 238,843.20
  4. Step 4: Simplify right side
    429,833.28x = 141,676,015,788.29
  5. Step 5: Solve for x
    x = 141,676,015,788.29/429,833.28
  6. Step 6: Final answer
    x = 329,606.90

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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.