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Finding the Fourth Proportional to 664,863.78, 997,295.70 and 166,227.78

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Solution

The fourth proportional to 664,863.78, 997,295.70 and 166,227.78 is: 249,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,863.78 : 997,295.70 = 166,227.78 : x
  2. Step 2: Convert to fraction form
    664,863.78/997,295.70 = 166,227.78/x
  3. Step 3: Cross multiply
    664,863.78x = 997,295.70 × 166,227.78
  4. Step 4: Simplify right side
    664,863.78x = 165,778,250,630.03
  5. Step 5: Solve for x
    x = 165,778,250,630.03/664,863.78
  6. Step 6: Final answer
    x = 249,341.68

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.