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Finding the Fourth Proportional to 513,618.84, 770,277.80 and 193,539.78

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Solution

The fourth proportional to 513,618.84, 770,277.80 and 193,539.78 is: 290,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,618.84 : 770,277.80 = 193,539.78 : x
  2. Step 2: Convert to fraction form
    513,618.84/770,277.80 = 193,539.78/x
  3. Step 3: Cross multiply
    513,618.84x = 770,277.80 × 193,539.78
  4. Step 4: Simplify right side
    513,618.84x = 149,079,396,434.73
  5. Step 5: Solve for x
    x = 149,079,396,434.73/513,618.84
  6. Step 6: Final answer
    x = 290,252.98

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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.