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Finding the Fourth Proportional to 498,077.70, 747,019.35 and 161,036.70

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Solution

The fourth proportional to 498,077.70, 747,019.35 and 161,036.70 is: 241,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,077.70 : 747,019.35 = 161,036.70 : x
  2. Step 2: Convert to fraction form
    498,077.70/747,019.35 = 161,036.70/x
  3. Step 3: Cross multiply
    498,077.70x = 747,019.35 × 161,036.70
  4. Step 4: Simplify right side
    498,077.70x = 120,297,530,960.15
  5. Step 5: Solve for x
    x = 120,297,530,960.15/498,077.70
  6. Step 6: Final answer
    x = 241,523.62

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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.