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Finding the Fourth Proportional to 298,900.83, 412,468.10 and 169,822.41

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Solution

The fourth proportional to 298,900.83, 412,468.10 and 169,822.41 is: 234,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,900.83 : 412,468.10 = 169,822.41 : x
  2. Step 2: Convert to fraction form
    298,900.83/412,468.10 = 169,822.41/x
  3. Step 3: Cross multiply
    298,900.83x = 412,468.10 × 169,822.41
  4. Step 4: Simplify right side
    298,900.83x = 70,046,325,031.09
  5. Step 5: Solve for x
    x = 70,046,325,031.09/298,900.83
  6. Step 6: Final answer
    x = 234,346.37

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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.