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Finding the Fourth Proportional to 428,331.50, 642,357.10 and 200,556.62

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Solution

The fourth proportional to 428,331.50, 642,357.10 and 200,556.62 is: 300,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,331.50 : 642,357.10 = 200,556.62 : x
  2. Step 2: Convert to fraction form
    428,331.50/642,357.10 = 200,556.62/x
  3. Step 3: Cross multiply
    428,331.50x = 642,357.10 × 200,556.62
  4. Step 4: Simplify right side
    428,331.50x = 128,828,965,095.83
  5. Step 5: Solve for x
    x = 128,828,965,095.83/428,331.50
  6. Step 6: Final answer
    x = 300,769.30

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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.