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Finding the Fourth Proportional to 295,372.60, 407,613.14 and 166,311.06

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Solution

The fourth proportional to 295,372.60, 407,613.14 and 166,311.06 is: 229,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,372.60 : 407,613.14 = 166,311.06 : x
  2. Step 2: Convert to fraction form
    295,372.60/407,613.14 = 166,311.06/x
  3. Step 3: Cross multiply
    295,372.60x = 407,613.14 × 166,311.06
  4. Step 4: Simplify right side
    295,372.60x = 67,790,573,383.33
  5. Step 5: Solve for x
    x = 67,790,573,383.33/295,372.60
  6. Step 6: Final answer
    x = 229,508.67

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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.