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Finding the Fourth Proportional to 455,782.92, 683,874.81 and 242,500.67

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Solution

The fourth proportional to 455,782.92, 683,874.81 and 242,500.67 is: 363,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,782.92 : 683,874.81 = 242,500.67 : x
  2. Step 2: Convert to fraction form
    455,782.92/683,874.81 = 242,500.67/x
  3. Step 3: Cross multiply
    455,782.92x = 683,874.81 × 242,500.67
  4. Step 4: Simplify right side
    455,782.92x = 165,840,099,621.12
  5. Step 5: Solve for x
    x = 165,840,099,621.12/455,782.92
  6. Step 6: Final answer
    x = 363,857.64

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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.