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Finding the Fourth Proportional to 299,211.70, 412,911.56 and 163,245.74

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Solution

The fourth proportional to 299,211.70, 412,911.56 and 163,245.74 is: 225,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,211.70 : 412,911.56 = 163,245.74 : x
  2. Step 2: Convert to fraction form
    299,211.70/412,911.56 = 163,245.74/x
  3. Step 3: Cross multiply
    299,211.70x = 412,911.56 × 163,245.74
  4. Step 4: Simplify right side
    299,211.70x = 67,406,052,350.53
  5. Step 5: Solve for x
    x = 67,406,052,350.53/299,211.70
  6. Step 6: Final answer
    x = 225,278.80

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