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Finding the Fourth Proportional to 502,305.50, 693,181.86 and 275,965.58

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Solution

The fourth proportional to 502,305.50, 693,181.86 and 275,965.58 is: 380,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,305.50 : 693,181.86 = 275,965.58 : x
  2. Step 2: Convert to fraction form
    502,305.50/693,181.86 = 275,965.58/x
  3. Step 3: Cross multiply
    502,305.50x = 693,181.86 × 275,965.58
  4. Step 4: Simplify right side
    502,305.50x = 191,294,334,040.38
  5. Step 5: Solve for x
    x = 191,294,334,040.38/502,305.50
  6. Step 6: Final answer
    x = 380,832.65

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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.