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Finding the Fourth Proportional to 343,732.50, 474,352.56 and 192,829.50

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Solution

The fourth proportional to 343,732.50, 474,352.56 and 192,829.50 is: 266,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,732.50 : 474,352.56 = 192,829.50 : x
  2. Step 2: Convert to fraction form
    343,732.50/474,352.56 = 192,829.50/x
  3. Step 3: Cross multiply
    343,732.50x = 474,352.56 × 192,829.50
  4. Step 4: Simplify right side
    343,732.50x = 91,469,166,968.52
  5. Step 5: Solve for x
    x = 91,469,166,968.52/343,732.50
  6. Step 6: Final answer
    x = 266,105.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.