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Finding the Fourth Proportional to 364,546.58, 502,872.09 and 213,614.42

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Solution

The fourth proportional to 364,546.58, 502,872.09 and 213,614.42 is: 294,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,546.58 : 502,872.09 = 213,614.42 : x
  2. Step 2: Convert to fraction form
    364,546.58/502,872.09 = 213,614.42/x
  3. Step 3: Cross multiply
    364,546.58x = 502,872.09 × 213,614.42
  4. Step 4: Simplify right side
    364,546.58x = 107,420,727,325.18
  5. Step 5: Solve for x
    x = 107,420,727,325.18/364,546.58
  6. Step 6: Final answer
    x = 294,669.42

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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.