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Finding the Fourth Proportional to 429,591.25, 592,835.97 and 238,622.41

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Solution

The fourth proportional to 429,591.25, 592,835.97 and 238,622.41 is: 329,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,591.25 : 592,835.97 = 238,622.41 : x
  2. Step 2: Convert to fraction form
    429,591.25/592,835.97 = 238,622.41/x
  3. Step 3: Cross multiply
    429,591.25x = 592,835.97 × 238,622.41
  4. Step 4: Simplify right side
    429,591.25x = 141,463,947,896.09
  5. Step 5: Solve for x
    x = 141,463,947,896.09/429,591.25
  6. Step 6: Final answer
    x = 329,298.95

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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.