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Finding the Fourth Proportional to 230,793.60, 346,471.20 and 146,553.60

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Solution

The fourth proportional to 230,793.60, 346,471.20 and 146,553.60 is: 220,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,793.60 : 346,471.20 = 146,553.60 : x
  2. Step 2: Convert to fraction form
    230,793.60/346,471.20 = 146,553.60/x
  3. Step 3: Cross multiply
    230,793.60x = 346,471.20 × 146,553.60
  4. Step 4: Simplify right side
    230,793.60x = 50,776,601,656.32
  5. Step 5: Solve for x
    x = 50,776,601,656.32/230,793.60
  6. Step 6: Final answer
    x = 220,008.71

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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.