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Finding the Fourth Proportional to 319,926.24, 479,914.88 and 109,566

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Solution

The fourth proportional to 319,926.24, 479,914.88 and 109,566 is: 164,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,926.24 : 479,914.88 = 109,566 : x
  2. Step 2: Convert to fraction form
    319,926.24/479,914.88 = 109,566/x
  3. Step 3: Cross multiply
    319,926.24x = 479,914.88 × 109,566
  4. Step 4: Simplify right side
    319,926.24x = 52,582,353,194.25
  5. Step 5: Solve for x
    x = 52,582,353,194.25/319,926.24
  6. Step 6: Final answer
    x = 164,357.74

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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.