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Finding the Fourth Proportional to 409,427.52, 613,725.20 and 169,671.84

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Solution

The fourth proportional to 409,427.52, 613,725.20 and 169,671.84 is: 254,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,427.52 : 613,725.20 = 169,671.84 : x
  2. Step 2: Convert to fraction form
    409,427.52/613,725.20 = 169,671.84/x
  3. Step 3: Cross multiply
    409,427.52x = 613,725.20 × 169,671.84
  4. Step 4: Simplify right side
    409,427.52x = 104,131,883,938.37
  5. Step 5: Solve for x
    x = 104,131,883,938.37/409,427.52
  6. Step 6: Final answer
    x = 254,335.33

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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.