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Finding the Fourth Proportional to 414,466.40, 622,006.80 and 274,178.40

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Solution

The fourth proportional to 414,466.40, 622,006.80 and 274,178.40 is: 411,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,466.40 : 622,006.80 = 274,178.40 : x
  2. Step 2: Convert to fraction form
    414,466.40/622,006.80 = 274,178.40/x
  3. Step 3: Cross multiply
    414,466.40x = 622,006.80 × 274,178.40
  4. Step 4: Simplify right side
    414,466.40x = 170,540,829,213.12
  5. Step 5: Solve for x
    x = 170,540,829,213.12/414,466.40
  6. Step 6: Final answer
    x = 411,470.82

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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.