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Finding the Fourth Proportional to 363,952.14, 502,255.94 and 211,080.94

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Solution

The fourth proportional to 363,952.14, 502,255.94 and 211,080.94 is: 291,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,952.14 : 502,255.94 = 211,080.94 : x
  2. Step 2: Convert to fraction form
    363,952.14/502,255.94 = 211,080.94/x
  3. Step 3: Cross multiply
    363,952.14x = 502,255.94 × 211,080.94
  4. Step 4: Simplify right side
    363,952.14x = 106,016,654,812.07
  5. Step 5: Solve for x
    x = 106,016,654,812.07/363,952.14
  6. Step 6: Final answer
    x = 291,292.85

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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.