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Finding the Fourth Proportional to 349,022.60, 523,608.30 and 199,334.60

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Solution

The fourth proportional to 349,022.60, 523,608.30 and 199,334.60 is: 299,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,022.60 : 523,608.30 = 199,334.60 : x
  2. Step 2: Convert to fraction form
    349,022.60/523,608.30 = 199,334.60/x
  3. Step 3: Cross multiply
    349,022.60x = 523,608.30 × 199,334.60
  4. Step 4: Simplify right side
    349,022.60x = 104,373,251,037.18
  5. Step 5: Solve for x
    x = 104,373,251,037.18/349,022.60
  6. Step 6: Final answer
    x = 299,044.39

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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.