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Finding the Fourth Proportional to 335,019.40, 502,521.20 and 82,299.48

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Solution

The fourth proportional to 335,019.40, 502,521.20 and 82,299.48 is: 123,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,019.40 : 502,521.20 = 82,299.48 : x
  2. Step 2: Convert to fraction form
    335,019.40/502,521.20 = 82,299.48/x
  3. Step 3: Cross multiply
    335,019.40x = 502,521.20 × 82,299.48
  4. Step 4: Simplify right side
    335,019.40x = 41,357,230,524.87
  5. Step 5: Solve for x
    x = 41,357,230,524.87/335,019.40
  6. Step 6: Final answer
    x = 123,447.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.