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Finding the Fourth Proportional to 515,754.05, 711,729.32 and 286,297.92

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Solution

The fourth proportional to 515,754.05, 711,729.32 and 286,297.92 is: 395,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,754.05 : 711,729.32 = 286,297.92 : x
  2. Step 2: Convert to fraction form
    515,754.05/711,729.32 = 286,297.92/x
  3. Step 3: Cross multiply
    515,754.05x = 711,729.32 × 286,297.92
  4. Step 4: Simplify right side
    515,754.05x = 203,766,622,487.53
  5. Step 5: Solve for x
    x = 203,766,622,487.53/515,754.05
  6. Step 6: Final answer
    x = 395,084.88

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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.