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Finding the Fourth Proportional to 298,662.10, 447,730.70 and 111,629.86

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Solution

The fourth proportional to 298,662.10, 447,730.70 and 111,629.86 is: 167,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,662.10 : 447,730.70 = 111,629.86 : x
  2. Step 2: Convert to fraction form
    298,662.10/447,730.70 = 111,629.86/x
  3. Step 3: Cross multiply
    298,662.10x = 447,730.70 × 111,629.86
  4. Step 4: Simplify right side
    298,662.10x = 49,980,115,358.70
  5. Step 5: Solve for x
    x = 49,980,115,358.70/298,662.10
  6. Step 6: Final answer
    x = 167,346.70

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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.