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Finding the Fourth Proportional to 461,149.49, 691,822.71 and 161,648.34

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Solution

The fourth proportional to 461,149.49, 691,822.71 and 161,648.34 is: 242,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,149.49 : 691,822.71 = 161,648.34 : x
  2. Step 2: Convert to fraction form
    461,149.49/691,822.71 = 161,648.34/x
  3. Step 3: Cross multiply
    461,149.49x = 691,822.71 × 161,648.34
  4. Step 4: Simplify right side
    461,149.49x = 111,831,992,645.80
  5. Step 5: Solve for x
    x = 111,831,992,645.80/461,149.49
  6. Step 6: Final answer
    x = 242,507.03

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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.