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Finding the Fourth Proportional to 515,716.50, 773,594.19 and 160,729.14

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Solution

The fourth proportional to 515,716.50, 773,594.19 and 160,729.14 is: 241,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,716.50 : 773,594.19 = 160,729.14 : x
  2. Step 2: Convert to fraction form
    515,716.50/773,594.19 = 160,729.14/x
  3. Step 3: Cross multiply
    515,716.50x = 773,594.19 × 160,729.14
  4. Step 4: Simplify right side
    515,716.50x = 124,339,128,867.70
  5. Step 5: Solve for x
    x = 124,339,128,867.70/515,716.50
  6. Step 6: Final answer
    x = 241,099.77

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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.