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Finding the Fourth Proportional to 363,794.25, 502,051.59 and 202,649.41

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Solution

The fourth proportional to 363,794.25, 502,051.59 and 202,649.41 is: 279,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,794.25 : 502,051.59 = 202,649.41 : x
  2. Step 2: Convert to fraction form
    363,794.25/502,051.59 = 202,649.41/x
  3. Step 3: Cross multiply
    363,794.25x = 502,051.59 × 202,649.41
  4. Step 4: Simplify right side
    363,794.25x = 101,740,457,066.52
  5. Step 5: Solve for x
    x = 101,740,457,066.52/363,794.25
  6. Step 6: Final answer
    x = 279,664.83

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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.