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Finding the Fourth Proportional to 414,478.40, 622,024.80 and 274,190.40

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Solution

The fourth proportional to 414,478.40, 622,024.80 and 274,190.40 is: 411,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,478.40 : 622,024.80 = 274,190.40 : x
  2. Step 2: Convert to fraction form
    414,478.40/622,024.80 = 274,190.40/x
  3. Step 3: Cross multiply
    414,478.40x = 622,024.80 × 274,190.40
  4. Step 4: Simplify right side
    414,478.40x = 170,553,228,721.92
  5. Step 5: Solve for x
    x = 170,553,228,721.92/414,478.40
  6. Step 6: Final answer
    x = 411,488.82

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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.