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Finding the Fourth Proportional to 349,270.56, 523,532.84 and 199,187.69

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Solution

The fourth proportional to 349,270.56, 523,532.84 and 199,187.69 is: 298,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,270.56 : 523,532.84 = 199,187.69 : x
  2. Step 2: Convert to fraction form
    349,270.56/523,532.84 = 199,187.69/x
  3. Step 3: Cross multiply
    349,270.56x = 523,532.84 × 199,187.69
  4. Step 4: Simplify right side
    349,270.56x = 104,281,293,425.14
  5. Step 5: Solve for x
    x = 104,281,293,425.14/349,270.56
  6. Step 6: Final answer
    x = 298,568.80

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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.