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Finding the Fourth Proportional to 283,807.62, 391,722.75 and 170,608.50

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Solution

The fourth proportional to 283,807.62, 391,722.75 and 170,608.50 is: 235,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,807.62 : 391,722.75 = 170,608.50 : x
  2. Step 2: Convert to fraction form
    283,807.62/391,722.75 = 170,608.50/x
  3. Step 3: Cross multiply
    283,807.62x = 391,722.75 × 170,608.50
  4. Step 4: Simplify right side
    283,807.62x = 66,831,230,793.38
  5. Step 5: Solve for x
    x = 66,831,230,793.38/283,807.62
  6. Step 6: Final answer
    x = 235,480.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.