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Finding the Fourth Proportional to 414,747.40, 622,121.10 and 407,835.40

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Solution

The fourth proportional to 414,747.40, 622,121.10 and 407,835.40 is: 611,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,747.40 : 622,121.10 = 407,835.40 : x
  2. Step 2: Convert to fraction form
    414,747.40/622,121.10 = 407,835.40/x
  3. Step 3: Cross multiply
    414,747.40x = 622,121.10 × 407,835.40
  4. Step 4: Simplify right side
    414,747.40x = 253,723,007,666.94
  5. Step 5: Solve for x
    x = 253,723,007,666.94/414,747.40
  6. Step 6: Final answer
    x = 611,753.10

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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.