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Finding the Fourth Proportional to 384,383.70, 576,630.68 and 118,166.54

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Solution

The fourth proportional to 384,383.70, 576,630.68 and 118,166.54 is: 177,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,383.70 : 576,630.68 = 118,166.54 : x
  2. Step 2: Convert to fraction form
    384,383.70/576,630.68 = 118,166.54/x
  3. Step 3: Cross multiply
    384,383.70x = 576,630.68 × 118,166.54
  4. Step 4: Simplify right side
    384,383.70x = 68,138,452,313.45
  5. Step 5: Solve for x
    x = 68,138,452,313.45/384,383.70
  6. Step 6: Final answer
    x = 177,266.76

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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.