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Finding the Fourth Proportional to 327,999.32, 491,670.12 and 114,601.60

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Solution

The fourth proportional to 327,999.32, 491,670.12 and 114,601.60 is: 171,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,999.32 : 491,670.12 = 114,601.60 : x
  2. Step 2: Convert to fraction form
    327,999.32/491,670.12 = 114,601.60/x
  3. Step 3: Cross multiply
    327,999.32x = 491,670.12 × 114,601.60
  4. Step 4: Simplify right side
    327,999.32x = 56,346,182,424.19
  5. Step 5: Solve for x
    x = 56,346,182,424.19/327,999.32
  6. Step 6: Final answer
    x = 171,787.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.