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Finding the Fourth Proportional to 414,000.51, 621,000.77 and 133,517.76

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Solution

The fourth proportional to 414,000.51, 621,000.77 and 133,517.76 is: 200,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.51 : 621,000.77 = 133,517.76 : x
  2. Step 2: Convert to fraction form
    414,000.51/621,000.77 = 133,517.76/x
  3. Step 3: Cross multiply
    414,000.51x = 621,000.77 × 133,517.76
  4. Step 4: Simplify right side
    414,000.51x = 82,914,631,768.68
  5. Step 5: Solve for x
    x = 82,914,631,768.68/414,000.51
  6. Step 6: Final answer
    x = 200,276.64

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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.