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Finding the Fourth Proportional to 498,065.36, 747,194.02 and 161,189.60

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Solution

The fourth proportional to 498,065.36, 747,194.02 and 161,189.60 is: 241,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,065.36 : 747,194.02 = 161,189.60 : x
  2. Step 2: Convert to fraction form
    498,065.36/747,194.02 = 161,189.60/x
  3. Step 3: Cross multiply
    498,065.36x = 747,194.02 × 161,189.60
  4. Step 4: Simplify right side
    498,065.36x = 120,439,901,067.25
  5. Step 5: Solve for x
    x = 120,439,901,067.25/498,065.36
  6. Step 6: Final answer
    x = 241,815.46

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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.