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Finding the Fourth Proportional to 777,105, 1,165,723.52 and 216,139.50

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Solution

The fourth proportional to 777,105, 1,165,723.52 and 216,139.50 is: 324,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,105 : 1,165,723.52 = 216,139.50 : x
  2. Step 2: Convert to fraction form
    777,105/1,165,723.52 = 216,139.50/x
  3. Step 3: Cross multiply
    777,105x = 1,165,723.52 × 216,139.50
  4. Step 4: Simplify right side
    777,105x = 251,958,897,670.34
  5. Step 5: Solve for x
    x = 251,958,897,670.34/777,105
  6. Step 6: Final answer
    x = 324,227.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.