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Finding the Fourth Proportional to 298,808.62, 412,355.90 and 164,672.62

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Solution

The fourth proportional to 298,808.62, 412,355.90 and 164,672.62 is: 227,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,808.62 : 412,355.90 = 164,672.62 : x
  2. Step 2: Convert to fraction form
    298,808.62/412,355.90 = 164,672.62/x
  3. Step 3: Cross multiply
    298,808.62x = 412,355.90 × 164,672.62
  4. Step 4: Simplify right side
    298,808.62x = 67,903,726,425.46
  5. Step 5: Solve for x
    x = 67,903,726,425.46/298,808.62
  6. Step 6: Final answer
    x = 227,248.22

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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.