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Finding the Fourth Proportional to 308,082.60, 461,346.30 and 228,767.40

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Solution

The fourth proportional to 308,082.60, 461,346.30 and 228,767.40 is: 342,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,082.60 : 461,346.30 = 228,767.40 : x
  2. Step 2: Convert to fraction form
    308,082.60/461,346.30 = 228,767.40/x
  3. Step 3: Cross multiply
    308,082.60x = 461,346.30 × 228,767.40
  4. Step 4: Simplify right side
    308,082.60x = 105,540,993,550.62
  5. Step 5: Solve for x
    x = 105,540,993,550.62/308,082.60
  6. Step 6: Final answer
    x = 342,573.69

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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.