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Finding the Fourth Proportional to 218,964.69, 327,807.32 and 197,953.29

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Solution

The fourth proportional to 218,964.69, 327,807.32 and 197,953.29 is: 296,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,964.69 : 327,807.32 = 197,953.29 : x
  2. Step 2: Convert to fraction form
    218,964.69/327,807.32 = 197,953.29/x
  3. Step 3: Cross multiply
    218,964.69x = 327,807.32 × 197,953.29
  4. Step 4: Simplify right side
    218,964.69x = 64,890,536,490.32
  5. Step 5: Solve for x
    x = 64,890,536,490.32/218,964.69
  6. Step 6: Final answer
    x = 296,351.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.