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Finding the Fourth Proportional to 399,641.30, 551,498.46 and 218,349.32

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Solution

The fourth proportional to 399,641.30, 551,498.46 and 218,349.32 is: 301,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,641.30 : 551,498.46 = 218,349.32 : x
  2. Step 2: Convert to fraction form
    399,641.30/551,498.46 = 218,349.32/x
  3. Step 3: Cross multiply
    399,641.30x = 551,498.46 × 218,349.32
  4. Step 4: Simplify right side
    399,641.30x = 120,419,313,722.05
  5. Step 5: Solve for x
    x = 120,419,313,722.05/399,641.30
  6. Step 6: Final answer
    x = 301,318.49

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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.