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Finding the Fourth Proportional to 498,273.75, 747,410.63 and 161,596.04

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Solution

The fourth proportional to 498,273.75, 747,410.63 and 161,596.04 is: 242,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,273.75 : 747,410.63 = 161,596.04 : x
  2. Step 2: Convert to fraction form
    498,273.75/747,410.63 = 161,596.04/x
  3. Step 3: Cross multiply
    498,273.75x = 747,410.63 × 161,596.04
  4. Step 4: Simplify right side
    498,273.75x = 120,778,598,061.91
  5. Step 5: Solve for x
    x = 120,778,598,061.91/498,273.75
  6. Step 6: Final answer
    x = 242,394.06

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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.