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Finding the Fourth Proportional to 380,236.95, 524,773.89 and 216,933.66

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Solution

The fourth proportional to 380,236.95, 524,773.89 and 216,933.66 is: 299,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,236.95 : 524,773.89 = 216,933.66 : x
  2. Step 2: Convert to fraction form
    380,236.95/524,773.89 = 216,933.66/x
  3. Step 3: Cross multiply
    380,236.95x = 524,773.89 × 216,933.66
  4. Step 4: Simplify right side
    380,236.95x = 113,841,120,630.14
  5. Step 5: Solve for x
    x = 113,841,120,630.14/380,236.95
  6. Step 6: Final answer
    x = 299,395.21

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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.