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Finding the Fourth Proportional to 523,327.56, 784,333.08 and 283,432.02

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Solution

The fourth proportional to 523,327.56, 784,333.08 and 283,432.02 is: 424,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,327.56 : 784,333.08 = 283,432.02 : x
  2. Step 2: Convert to fraction form
    523,327.56/784,333.08 = 283,432.02/x
  3. Step 3: Cross multiply
    523,327.56x = 784,333.08 × 283,432.02
  4. Step 4: Simplify right side
    523,327.56x = 222,305,109,217.22
  5. Step 5: Solve for x
    x = 222,305,109,217.22/523,327.56
  6. Step 6: Final answer
    x = 424,791.52

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Why These Related Problems?

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