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Finding the Fourth Proportional to 298,717.11, 412,227.32 and 162,750.64

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Solution

The fourth proportional to 298,717.11, 412,227.32 and 162,750.64 is: 224,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,717.11 : 412,227.32 = 162,750.64 : x
  2. Step 2: Convert to fraction form
    298,717.11/412,227.32 = 162,750.64/x
  3. Step 3: Cross multiply
    298,717.11x = 412,227.32 × 162,750.64
  4. Step 4: Simplify right side
    298,717.11x = 67,090,260,155.48
  5. Step 5: Solve for x
    x = 67,090,260,155.48/298,717.11
  6. Step 6: Final answer
    x = 224,594.63

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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.