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Finding the Fourth Proportional to 474,638.43, 654,998.70 and 256,846.95

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Solution

The fourth proportional to 474,638.43, 654,998.70 and 256,846.95 is: 354,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,638.43 : 654,998.70 = 256,846.95 : x
  2. Step 2: Convert to fraction form
    474,638.43/654,998.70 = 256,846.95/x
  3. Step 3: Cross multiply
    474,638.43x = 654,998.70 × 256,846.95
  4. Step 4: Simplify right side
    474,638.43x = 168,234,419,312.14
  5. Step 5: Solve for x
    x = 168,234,419,312.14/474,638.43
  6. Step 6: Final answer
    x = 354,447.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.