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Finding the Fourth Proportional to 454,874.71, 682,302.74 and 202,086.67

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Solution

The fourth proportional to 454,874.71, 682,302.74 and 202,086.67 is: 303,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,874.71 : 682,302.74 = 202,086.67 : x
  2. Step 2: Convert to fraction form
    454,874.71/682,302.74 = 202,086.67/x
  3. Step 3: Cross multiply
    454,874.71x = 682,302.74 × 202,086.67
  4. Step 4: Simplify right side
    454,874.71x = 137,884,285,246.96
  5. Step 5: Solve for x
    x = 137,884,285,246.96/454,874.71
  6. Step 6: Final answer
    x = 303,125.86

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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.