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Finding the Fourth Proportional to 363,933, 502,231.14 and 213,033.24

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Solution

The fourth proportional to 363,933, 502,231.14 and 213,033.24 is: 293,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,933 : 502,231.14 = 213,033.24 : x
  2. Step 2: Convert to fraction form
    363,933/502,231.14 = 213,033.24/x
  3. Step 3: Cross multiply
    363,933x = 502,231.14 × 213,033.24
  4. Step 4: Simplify right side
    363,933x = 106,991,926,983.09
  5. Step 5: Solve for x
    x = 106,991,926,983.09/363,933
  6. Step 6: Final answer
    x = 293,987.98

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1.5x scale

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.