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Finding the Fourth Proportional to 414,302.28, 621,005.76 and 200,618.76

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Solution

The fourth proportional to 414,302.28, 621,005.76 and 200,618.76 is: 300,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,302.28 : 621,005.76 = 200,618.76 : x
  2. Step 2: Convert to fraction form
    414,302.28/621,005.76 = 200,618.76/x
  3. Step 3: Cross multiply
    414,302.28x = 621,005.76 × 200,618.76
  4. Step 4: Simplify right side
    414,302.28x = 124,585,405,524.06
  5. Step 5: Solve for x
    x = 124,585,405,524.06/414,302.28
  6. Step 6: Final answer
    x = 300,711.37

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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.