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Finding the Fourth Proportional to 363,917.30, 502,207.86 and 211,046.13

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Solution

The fourth proportional to 363,917.30, 502,207.86 and 211,046.13 is: 291,244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,917.30 : 502,207.86 = 211,046.13 : x
  2. Step 2: Convert to fraction form
    363,917.30/502,207.86 = 211,046.13/x
  3. Step 3: Cross multiply
    363,917.30x = 502,207.86 × 211,046.13
  4. Step 4: Simplify right side
    363,917.30x = 105,989,025,308.58
  5. Step 5: Solve for x
    x = 105,989,025,308.58/363,917.30
  6. Step 6: Final answer
    x = 291,244.81

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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.