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Finding the Fourth Proportional to 213,609.60, 320,414.40 and 185,961.60

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Solution

The fourth proportional to 213,609.60, 320,414.40 and 185,961.60 is: 278,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,609.60 : 320,414.40 = 185,961.60 : x
  2. Step 2: Convert to fraction form
    213,609.60/320,414.40 = 185,961.60/x
  3. Step 3: Cross multiply
    213,609.60x = 320,414.40 × 185,961.60
  4. Step 4: Simplify right side
    213,609.60x = 59,584,774,487.04
  5. Step 5: Solve for x
    x = 59,584,774,487.04/213,609.60
  6. Step 6: Final answer
    x = 278,942.40

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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.