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Finding the Fourth Proportional to 529,136.00, 729,512.84 and 381,837.24

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Solution

The fourth proportional to 529,136.00, 729,512.84 and 381,837.24 is: 526,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,136.00 : 729,512.84 = 381,837.24 : x
  2. Step 2: Convert to fraction form
    529,136.00/729,512.84 = 381,837.24/x
  3. Step 3: Cross multiply
    529,136.00x = 729,512.84 × 381,837.24
  4. Step 4: Simplify right side
    529,136.00x = 278,555,163,813.41
  5. Step 5: Solve for x
    x = 278,555,163,813.41/529,136.00
  6. Step 6: Final answer
    x = 526,433.97

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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.