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Finding the Fourth Proportional to 298,998.25, 412,652.59 and 169,956.14

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Solution

The fourth proportional to 298,998.25, 412,652.59 and 169,956.14 is: 234,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,998.25 : 412,652.59 = 169,956.14 : x
  2. Step 2: Convert to fraction form
    298,998.25/412,652.59 = 169,956.14/x
  3. Step 3: Cross multiply
    298,998.25x = 412,652.59 × 169,956.14
  4. Step 4: Simplify right side
    298,998.25x = 70,132,838,869.25
  5. Step 5: Solve for x
    x = 70,132,838,869.25/298,998.25
  6. Step 6: Final answer
    x = 234,559.36

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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.