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Finding the Fourth Proportional to 298,807.12, 412,353.83 and 164,671.12

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Solution

The fourth proportional to 298,807.12, 412,353.83 and 164,671.12 is: 227,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,807.12 : 412,353.83 = 164,671.12 : x
  2. Step 2: Convert to fraction form
    298,807.12/412,353.83 = 164,671.12/x
  3. Step 3: Cross multiply
    298,807.12x = 412,353.83 × 164,671.12
  4. Step 4: Simplify right side
    298,807.12x = 67,902,764,137.26
  5. Step 5: Solve for x
    x = 67,902,764,137.26/298,807.12
  6. Step 6: Final answer
    x = 227,246.14

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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.