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Finding the Fourth Proportional to 363,830.94, 502,064.83 and 202,657.24

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Solution

The fourth proportional to 363,830.94, 502,064.83 and 202,657.24 is: 279,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,830.94 : 502,064.83 = 202,657.24 : x
  2. Step 2: Convert to fraction form
    363,830.94/502,064.83 = 202,657.24/x
  3. Step 3: Cross multiply
    363,830.94x = 502,064.83 × 202,657.24
  4. Step 4: Simplify right side
    363,830.94x = 101,747,073,629.77
  5. Step 5: Solve for x
    x = 101,747,073,629.77/363,830.94
  6. Step 6: Final answer
    x = 279,654.81

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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.