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Finding the Fourth Proportional to 363,808.66, 502,064.73 and 202,666.30

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Solution

The fourth proportional to 363,808.66, 502,064.73 and 202,666.30 is: 279,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,808.66 : 502,064.73 = 202,666.30 : x
  2. Step 2: Convert to fraction form
    363,808.66/502,064.73 = 202,666.30/x
  3. Step 3: Cross multiply
    363,808.66x = 502,064.73 × 202,666.30
  4. Step 4: Simplify right side
    363,808.66x = 101,751,601,189.60
  5. Step 5: Solve for x
    x = 101,751,601,189.60/363,808.66
  6. Step 6: Final answer
    x = 279,684.38

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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.