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Finding the Fourth Proportional to 298,807.32, 412,354.10 and 164,671.32

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Solution

The fourth proportional to 298,807.32, 412,354.10 and 164,671.32 is: 227,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,807.32 : 412,354.10 = 164,671.32 : x
  2. Step 2: Convert to fraction form
    298,807.32/412,354.10 = 164,671.32/x
  3. Step 3: Cross multiply
    298,807.32x = 412,354.10 × 164,671.32
  4. Step 4: Simplify right side
    298,807.32x = 67,902,891,892.64
  5. Step 5: Solve for x
    x = 67,902,891,892.64/298,807.32
  6. Step 6: Final answer
    x = 227,246.42

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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.