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Finding the Fourth Proportional to 513,357.69, 770,089.35 and 193,778.73

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Solution

The fourth proportional to 513,357.69, 770,089.35 and 193,778.73 is: 290,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,357.69 : 770,089.35 = 193,778.73 : x
  2. Step 2: Convert to fraction form
    513,357.69/770,089.35 = 193,778.73/x
  3. Step 3: Cross multiply
    513,357.69x = 770,089.35 × 193,778.73
  4. Step 4: Simplify right side
    513,357.69x = 149,226,936,229.53
  5. Step 5: Solve for x
    x = 149,226,936,229.53/513,357.69
  6. Step 6: Final answer
    x = 290,688.03

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1.5x scale

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.