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Finding the Fourth Proportional to 510,584.95, 765,906.23 and 155,610.55

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Solution

The fourth proportional to 510,584.95, 765,906.23 and 155,610.55 is: 233,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,584.95 : 765,906.23 = 155,610.55 : x
  2. Step 2: Convert to fraction form
    510,584.95/765,906.23 = 155,610.55/x
  3. Step 3: Cross multiply
    510,584.95x = 765,906.23 × 155,610.55
  4. Step 4: Simplify right side
    510,584.95x = 119,183,089,698.73
  5. Step 5: Solve for x
    x = 119,183,089,698.73/510,584.95
  6. Step 6: Final answer
    x = 233,424.60

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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.