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Finding the Fourth Proportional to 363,940, 502,240.80 and 213,040.24

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Solution

The fourth proportional to 363,940, 502,240.80 and 213,040.24 is: 293,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,940 : 502,240.80 = 213,040.24 : x
  2. Step 2: Convert to fraction form
    363,940/502,240.80 = 213,040.24/x
  3. Step 3: Cross multiply
    363,940x = 502,240.80 × 213,040.24
  4. Step 4: Simplify right side
    363,940x = 106,997,500,569.79
  5. Step 5: Solve for x
    x = 106,997,500,569.79/363,940
  6. Step 6: Final answer
    x = 293,997.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.