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Finding the Fourth Proportional to 319,474.88, 479,255.52 and 109,056.32

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Solution

The fourth proportional to 319,474.88, 479,255.52 and 109,056.32 is: 163,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,474.88 : 479,255.52 = 109,056.32 : x
  2. Step 2: Convert to fraction form
    319,474.88/479,255.52 = 109,056.32/x
  3. Step 3: Cross multiply
    319,474.88x = 479,255.52 × 109,056.32
  4. Step 4: Simplify right side
    319,474.88x = 52,265,843,350.89
  5. Step 5: Solve for x
    x = 52,265,843,350.89/319,474.88
  6. Step 6: Final answer
    x = 163,599.23

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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.