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Finding the Fourth Proportional to 601,691.87, 902,530.84 and 146,285.68

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Solution

The fourth proportional to 601,691.87, 902,530.84 and 146,285.68 is: 219,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,691.87 : 902,530.84 = 146,285.68 : x
  2. Step 2: Convert to fraction form
    601,691.87/902,530.84 = 146,285.68/x
  3. Step 3: Cross multiply
    601,691.87x = 902,530.84 × 146,285.68
  4. Step 4: Simplify right side
    601,691.87x = 132,027,337,650.37
  5. Step 5: Solve for x
    x = 132,027,337,650.37/601,691.87
  6. Step 6: Final answer
    x = 219,426.83

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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.