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Finding the Fourth Proportional to 582,970.52, 874,709.92 and 204,163

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Solution

The fourth proportional to 582,970.52, 874,709.92 and 204,163 is: 306,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,970.52 : 874,709.92 = 204,163 : x
  2. Step 2: Convert to fraction form
    582,970.52/874,709.92 = 204,163/x
  3. Step 3: Cross multiply
    582,970.52x = 874,709.92 × 204,163
  4. Step 4: Simplify right side
    582,970.52x = 178,583,401,396.96
  5. Step 5: Solve for x
    x = 178,583,401,396.96/582,970.52
  6. Step 6: Final answer
    x = 306,333.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.