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Finding the Fourth Proportional to 298,803.92, 412,349.48 and 162,837.90

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Solution

The fourth proportional to 298,803.92, 412,349.48 and 162,837.90 is: 224,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,803.92 : 412,349.48 = 162,837.90 : x
  2. Step 2: Convert to fraction form
    298,803.92/412,349.48 = 162,837.90/x
  3. Step 3: Cross multiply
    298,803.92x = 412,349.48 × 162,837.90
  4. Step 4: Simplify right side
    298,803.92x = 67,146,122,575.10
  5. Step 5: Solve for x
    x = 67,146,122,575.10/298,803.92
  6. Step 6: Final answer
    x = 224,716.34

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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.