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Finding the Fourth Proportional to 407,165.92, 610,351.76 and 193,876.52

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Solution

The fourth proportional to 407,165.92, 610,351.76 and 193,876.52 is: 290,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,165.92 : 610,351.76 = 193,876.52 : x
  2. Step 2: Convert to fraction form
    407,165.92/610,351.76 = 193,876.52/x
  3. Step 3: Cross multiply
    407,165.92x = 610,351.76 × 193,876.52
  4. Step 4: Simplify right side
    407,165.92x = 118,332,875,204.68
  5. Step 5: Solve for x
    x = 118,332,875,204.68/407,165.92
  6. Step 6: Final answer
    x = 290,625.69

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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.