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Finding the Fourth Proportional to 380,190.40, 524,721.60 and 216,847.20

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Solution

The fourth proportional to 380,190.40, 524,721.60 and 216,847.20 is: 299,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,190.40 : 524,721.60 = 216,847.20 : x
  2. Step 2: Convert to fraction form
    380,190.40/524,721.60 = 216,847.20/x
  3. Step 3: Cross multiply
    380,190.40x = 524,721.60 × 216,847.20
  4. Step 4: Simplify right side
    380,190.40x = 113,784,409,739.52
  5. Step 5: Solve for x
    x = 113,784,409,739.52/380,190.40
  6. Step 6: Final answer
    x = 299,282.70

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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.