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Finding the Fourth Proportional to 429,991.21, 593,408.91 and 239,000.50

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Solution

The fourth proportional to 429,991.21, 593,408.91 and 239,000.50 is: 329,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,991.21 : 593,408.91 = 239,000.50 : x
  2. Step 2: Convert to fraction form
    429,991.21/593,408.91 = 239,000.50/x
  3. Step 3: Cross multiply
    429,991.21x = 593,408.91 × 239,000.50
  4. Step 4: Simplify right side
    429,991.21x = 141,825,026,194.46
  5. Step 5: Solve for x
    x = 141,825,026,194.46/429,991.21
  6. Step 6: Final answer
    x = 329,832.38

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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.