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Finding the Fourth Proportional to 344,846.82, 517,270.52 and 164,889.90

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Solution

The fourth proportional to 344,846.82, 517,270.52 and 164,889.90 is: 247,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,846.82 : 517,270.52 = 164,889.90 : x
  2. Step 2: Convert to fraction form
    344,846.82/517,270.52 = 164,889.90/x
  3. Step 3: Cross multiply
    344,846.82x = 517,270.52 × 164,889.90
  4. Step 4: Simplify right side
    344,846.82x = 85,292,685,487.17
  5. Step 5: Solve for x
    x = 85,292,685,487.17/344,846.82
  6. Step 6: Final answer
    x = 247,334.99

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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.