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Finding the Fourth Proportional to 498,311.52, 747,586.35 and 161,352.54

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Solution

The fourth proportional to 498,311.52, 747,586.35 and 161,352.54 is: 242,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,311.52 : 747,586.35 = 161,352.54 : x
  2. Step 2: Convert to fraction form
    498,311.52/747,586.35 = 161,352.54/x
  3. Step 3: Cross multiply
    498,311.52x = 747,586.35 × 161,352.54
  4. Step 4: Simplify right side
    498,311.52x = 120,624,956,441.83
  5. Step 5: Solve for x
    x = 120,624,956,441.83/498,311.52
  6. Step 6: Final answer
    x = 242,067.36

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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.