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Finding the Fourth Proportional to 488,902.32, 733,354.08 and 133,919.42

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Solution

The fourth proportional to 488,902.32, 733,354.08 and 133,919.42 is: 200,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,902.32 : 733,354.08 = 133,919.42 : x
  2. Step 2: Convert to fraction form
    488,902.32/733,354.08 = 133,919.42/x
  3. Step 3: Cross multiply
    488,902.32x = 733,354.08 × 133,919.42
  4. Step 4: Simplify right side
    488,902.32x = 98,210,353,048.23
  5. Step 5: Solve for x
    x = 98,210,353,048.23/488,902.32
  6. Step 6: Final answer
    x = 200,879.29

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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.