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Finding the Fourth Proportional to 407,264.52, 610,913.24 and 193,922.68

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Solution

The fourth proportional to 407,264.52, 610,913.24 and 193,922.68 is: 290,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,264.52 : 610,913.24 = 193,922.68 : x
  2. Step 2: Convert to fraction form
    407,264.52/610,913.24 = 193,922.68/x
  3. Step 3: Cross multiply
    407,264.52x = 610,913.24 × 193,922.68
  4. Step 4: Simplify right side
    407,264.52x = 118,469,932,748.28
  5. Step 5: Solve for x
    x = 118,469,932,748.28/407,264.52
  6. Step 6: Final answer
    x = 290,891.86

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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.