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Finding the Fourth Proportional to 498,538.86, 747,906.90 and 182,998.50

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Solution

The fourth proportional to 498,538.86, 747,906.90 and 182,998.50 is: 274,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,538.86 : 747,906.90 = 182,998.50 : x
  2. Step 2: Convert to fraction form
    498,538.86/747,906.90 = 182,998.50/x
  3. Step 3: Cross multiply
    498,538.86x = 747,906.90 × 182,998.50
  4. Step 4: Simplify right side
    498,538.86x = 136,865,840,839.65
  5. Step 5: Solve for x
    x = 136,865,840,839.65/498,538.86
  6. Step 6: Final answer
    x = 274,533.95

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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.