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Finding the Fourth Proportional to 363,910.48, 502,189.76 and 202,762.06

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Solution

The fourth proportional to 363,910.48, 502,189.76 and 202,762.06 is: 279,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,910.48 : 502,189.76 = 202,762.06 : x
  2. Step 2: Convert to fraction form
    363,910.48/502,189.76 = 202,762.06/x
  3. Step 3: Cross multiply
    363,910.48x = 502,189.76 × 202,762.06
  4. Step 4: Simplify right side
    363,910.48x = 101,825,029,499.94
  5. Step 5: Solve for x
    x = 101,825,029,499.94/363,910.48
  6. Step 6: Final answer
    x = 279,807.91

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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.