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Finding the Fourth Proportional to 364,256.88, 502,723.80 and 213,414

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Solution

The fourth proportional to 364,256.88, 502,723.80 and 213,414 is: 294,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,256.88 : 502,723.80 = 213,414 : x
  2. Step 2: Convert to fraction form
    364,256.88/502,723.80 = 213,414/x
  3. Step 3: Cross multiply
    364,256.88x = 502,723.80 × 213,414
  4. Step 4: Simplify right side
    364,256.88x = 107,288,297,053.20
  5. Step 5: Solve for x
    x = 107,288,297,053.20/364,256.88
  6. Step 6: Final answer
    x = 294,540.21

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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.