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Finding the Fourth Proportional to 363,796.44, 502,044.30 and 208,773

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Solution

The fourth proportional to 363,796.44, 502,044.30 and 208,773 is: 288,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,796.44 : 502,044.30 = 208,773 : x
  2. Step 2: Convert to fraction form
    363,796.44/502,044.30 = 208,773/x
  3. Step 3: Cross multiply
    363,796.44x = 502,044.30 × 208,773
  4. Step 4: Simplify right side
    363,796.44x = 104,813,294,643.90
  5. Step 5: Solve for x
    x = 104,813,294,643.90/363,796.44
  6. Step 6: Final answer
    x = 288,109.73

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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.