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Finding the Fourth Proportional to 403,833.60, 605,531.70 and 167,200.20

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Solution

The fourth proportional to 403,833.60, 605,531.70 and 167,200.20 is: 250,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,833.60 : 605,531.70 = 167,200.20 : x
  2. Step 2: Convert to fraction form
    403,833.60/605,531.70 = 167,200.20/x
  3. Step 3: Cross multiply
    403,833.60x = 605,531.70 × 167,200.20
  4. Step 4: Simplify right side
    403,833.60x = 101,245,021,346.34
  5. Step 5: Solve for x
    x = 101,245,021,346.34/403,833.60
  6. Step 6: Final answer
    x = 250,709.75

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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.