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Finding the Fourth Proportional to 313,467.43, 466,898.06 and 306,906.43

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Solution

The fourth proportional to 313,467.43, 466,898.06 and 306,906.43 is: 457,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,467.43 : 466,898.06 = 306,906.43 : x
  2. Step 2: Convert to fraction form
    313,467.43/466,898.06 = 306,906.43/x
  3. Step 3: Cross multiply
    313,467.43x = 466,898.06 × 306,906.43
  4. Step 4: Simplify right side
    313,467.43x = 143,294,016,768.53
  5. Step 5: Solve for x
    x = 143,294,016,768.53/313,467.43
  6. Step 6: Final answer
    x = 457,125.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.