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Finding the Fourth Proportional to 509,508.60, 764,270.16 and 193,982.76

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Solution

The fourth proportional to 509,508.60, 764,270.16 and 193,982.76 is: 290,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,508.60 : 764,270.16 = 193,982.76 : x
  2. Step 2: Convert to fraction form
    509,508.60/764,270.16 = 193,982.76/x
  3. Step 3: Cross multiply
    509,508.60x = 764,270.16 × 193,982.76
  4. Step 4: Simplify right side
    509,508.60x = 148,255,235,022.44
  5. Step 5: Solve for x
    x = 148,255,235,022.44/509,508.60
  6. Step 6: Final answer
    x = 290,976.90

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Double scale
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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.