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Finding the Fourth Proportional to 414,000.40, 621,146.40 and 203,497.60

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Solution

The fourth proportional to 414,000.40, 621,146.40 and 203,497.60 is: 305,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.40 : 621,146.40 = 203,497.60 : x
  2. Step 2: Convert to fraction form
    414,000.40/621,146.40 = 203,497.60/x
  3. Step 3: Cross multiply
    414,000.40x = 621,146.40 × 203,497.60
  4. Step 4: Simplify right side
    414,000.40x = 126,401,801,648.64
  5. Step 5: Solve for x
    x = 126,401,801,648.64/414,000.40
  6. Step 6: Final answer
    x = 305,318.07

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1.5x scale

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.