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Finding the Fourth Proportional to 455,732.92, 683,539.44 and 140,163.40

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Solution

The fourth proportional to 455,732.92, 683,539.44 and 140,163.40 is: 210,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,732.92 : 683,539.44 = 140,163.40 : x
  2. Step 2: Convert to fraction form
    455,732.92/683,539.44 = 140,163.40/x
  3. Step 3: Cross multiply
    455,732.92x = 683,539.44 × 140,163.40
  4. Step 4: Simplify right side
    455,732.92x = 95,807,211,944.50
  5. Step 5: Solve for x
    x = 95,807,211,944.50/455,732.92
  6. Step 6: Final answer
    x = 210,226.67

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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.