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Finding the Fourth Proportional to 407,614.56, 611,224.34 and 170,893.68

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Solution

The fourth proportional to 407,614.56, 611,224.34 and 170,893.68 is: 256,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,614.56 : 611,224.34 = 170,893.68 : x
  2. Step 2: Convert to fraction form
    407,614.56/611,224.34 = 170,893.68/x
  3. Step 3: Cross multiply
    407,614.56x = 611,224.34 × 170,893.68
  4. Step 4: Simplify right side
    407,614.56x = 104,454,375,913.70
  5. Step 5: Solve for x
    x = 104,454,375,913.70/407,614.56
  6. Step 6: Final answer
    x = 256,257.72

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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.