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Finding the Fourth Proportional to 503,761.68, 695,008.52 and 285,844.16

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Solution

The fourth proportional to 503,761.68, 695,008.52 and 285,844.16 is: 394,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,761.68 : 695,008.52 = 285,844.16 : x
  2. Step 2: Convert to fraction form
    503,761.68/695,008.52 = 285,844.16/x
  3. Step 3: Cross multiply
    503,761.68x = 695,008.52 × 285,844.16
  4. Step 4: Simplify right side
    503,761.68x = 198,664,126,592.24
  5. Step 5: Solve for x
    x = 198,664,126,592.24/503,761.68
  6. Step 6: Final answer
    x = 394,361.33

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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.