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Finding the Fourth Proportional to 429,856.44, 593,174.66 and 238,858.44

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Solution

The fourth proportional to 429,856.44, 593,174.66 and 238,858.44 is: 329,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,856.44 : 593,174.66 = 238,858.44 : x
  2. Step 2: Convert to fraction form
    429,856.44/593,174.66 = 238,858.44/x
  3. Step 3: Cross multiply
    429,856.44x = 593,174.66 × 238,858.44
  4. Step 4: Simplify right side
    429,856.44x = 141,684,773,935.13
  5. Step 5: Solve for x
    x = 141,684,773,935.13/429,856.44
  6. Step 6: Final answer
    x = 329,609.52

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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.