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Finding the Fourth Proportional to 407,163.92, 610,348.76 and 193,874.52

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Solution

The fourth proportional to 407,163.92, 610,348.76 and 193,874.52 is: 290,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,163.92 : 610,348.76 = 193,874.52 : x
  2. Step 2: Convert to fraction form
    407,163.92/610,348.76 = 193,874.52/x
  3. Step 3: Cross multiply
    407,163.92x = 610,348.76 × 193,874.52
  4. Step 4: Simplify right side
    407,163.92x = 118,331,072,877.60
  5. Step 5: Solve for x
    x = 118,331,072,877.60/407,163.92
  6. Step 6: Final answer
    x = 290,622.69

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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.