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Finding the Fourth Proportional to 407,740.20, 611,610.30 and 266,022.60

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Solution

The fourth proportional to 407,740.20, 611,610.30 and 266,022.60 is: 399,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,740.20 : 611,610.30 = 266,022.60 : x
  2. Step 2: Convert to fraction form
    407,740.20/611,610.30 = 266,022.60/x
  3. Step 3: Cross multiply
    407,740.20x = 611,610.30 × 266,022.60
  4. Step 4: Simplify right side
    407,740.20x = 162,702,162,192.78
  5. Step 5: Solve for x
    x = 162,702,162,192.78/407,740.20
  6. Step 6: Final answer
    x = 399,033.90

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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.