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Finding the Fourth Proportional to 364,167.97, 502,541.89 and 211,196.43

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Solution

The fourth proportional to 364,167.97, 502,541.89 and 211,196.43 is: 291,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,167.97 : 502,541.89 = 211,196.43 : x
  2. Step 2: Convert to fraction form
    364,167.97/502,541.89 = 211,196.43/x
  3. Step 3: Cross multiply
    364,167.97x = 502,541.89 × 211,196.43
  4. Step 4: Simplify right side
    364,167.97x = 106,135,052,565.46
  5. Step 5: Solve for x
    x = 106,135,052,565.46/364,167.97
  6. Step 6: Final answer
    x = 291,445.33

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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.