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Finding the Fourth Proportional to 344,846.74, 517,270.40 and 164,889.82

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Solution

The fourth proportional to 344,846.74, 517,270.40 and 164,889.82 is: 247,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,846.74 : 517,270.40 = 164,889.82 : x
  2. Step 2: Convert to fraction form
    344,846.74/517,270.40 = 164,889.82/x
  3. Step 3: Cross multiply
    344,846.74x = 517,270.40 × 164,889.82
  4. Step 4: Simplify right side
    344,846.74x = 85,292,623,147.33
  5. Step 5: Solve for x
    x = 85,292,623,147.33/344,846.74
  6. Step 6: Final answer
    x = 247,334.87

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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.