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Finding the Fourth Proportional to 363,952.20, 502,256.04 and 211,081

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Solution

The fourth proportional to 363,952.20, 502,256.04 and 211,081 is: 291,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,952.20 : 502,256.04 = 211,081 : x
  2. Step 2: Convert to fraction form
    363,952.20/502,256.04 = 211,081/x
  3. Step 3: Cross multiply
    363,952.20x = 502,256.04 × 211,081
  4. Step 4: Simplify right side
    363,952.20x = 106,016,707,179.24
  5. Step 5: Solve for x
    x = 106,016,707,179.24/363,952.20
  6. Step 6: Final answer
    x = 291,292.94

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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.