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Finding the Fourth Proportional to 363,821.88, 502,089.32 and 202,676.88

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Solution

The fourth proportional to 363,821.88, 502,089.32 and 202,676.88 is: 279,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,821.88 : 502,089.32 = 202,676.88 : x
  2. Step 2: Convert to fraction form
    363,821.88/502,089.32 = 202,676.88/x
  3. Step 3: Cross multiply
    363,821.88x = 502,089.32 × 202,676.88
  4. Step 4: Simplify right side
    363,821.88x = 101,761,896,858.92
  5. Step 5: Solve for x
    x = 101,761,896,858.92/363,821.88
  6. Step 6: Final answer
    x = 279,702.52

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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.