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Finding the Fourth Proportional to 380,344.50, 524,873.43 and 208,259.34

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Solution

The fourth proportional to 380,344.50, 524,873.43 and 208,259.34 is: 287,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,344.50 : 524,873.43 = 208,259.34 : x
  2. Step 2: Convert to fraction form
    380,344.50/524,873.43 = 208,259.34/x
  3. Step 3: Cross multiply
    380,344.50x = 524,873.43 × 208,259.34
  4. Step 4: Simplify right side
    380,344.50x = 109,309,794,115.34
  5. Step 5: Solve for x
    x = 109,309,794,115.34/380,344.50
  6. Step 6: Final answer
    x = 287,396.81

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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.