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Finding the Fourth Proportional to 364,103.32, 502,463.64 and 211,171

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Solution

The fourth proportional to 364,103.32, 502,463.64 and 211,171 is: 291,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,103.32 : 502,463.64 = 211,171 : x
  2. Step 2: Convert to fraction form
    364,103.32/502,463.64 = 211,171/x
  3. Step 3: Cross multiply
    364,103.32x = 502,463.64 × 211,171
  4. Step 4: Simplify right side
    364,103.32x = 106,105,749,322.44
  5. Step 5: Solve for x
    x = 106,105,749,322.44/364,103.32
  6. Step 6: Final answer
    x = 291,416.59

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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.