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Finding the Fourth Proportional to 349,287.72, 523,558.56 and 199,204.86

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Solution

The fourth proportional to 349,287.72, 523,558.56 and 199,204.86 is: 298,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,287.72 : 523,558.56 = 199,204.86 : x
  2. Step 2: Convert to fraction form
    349,287.72/523,558.56 = 199,204.86/x
  3. Step 3: Cross multiply
    349,287.72x = 523,558.56 × 199,204.86
  4. Step 4: Simplify right side
    349,287.72x = 104,295,409,646.60
  5. Step 5: Solve for x
    x = 104,295,409,646.60/349,287.72
  6. Step 6: Final answer
    x = 298,594.55

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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.