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Finding the Fourth Proportional to 298,814.62, 412,352.13 and 162,845.64

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Solution

The fourth proportional to 298,814.62, 412,352.13 and 162,845.64 is: 224,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,814.62 : 412,352.13 = 162,845.64 : x
  2. Step 2: Convert to fraction form
    298,814.62/412,352.13 = 162,845.64/x
  3. Step 3: Cross multiply
    298,814.62x = 412,352.13 × 162,845.64
  4. Step 4: Simplify right side
    298,814.62x = 67,149,746,515.21
  5. Step 5: Solve for x
    x = 67,149,746,515.21/298,814.62
  6. Step 6: Final answer
    x = 224,720.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.