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Finding the Fourth Proportional to 530,832.60, 796,243.95 and 215,214.48

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Solution

The fourth proportional to 530,832.60, 796,243.95 and 215,214.48 is: 322,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,832.60 : 796,243.95 = 215,214.48 : x
  2. Step 2: Convert to fraction form
    530,832.60/796,243.95 = 215,214.48/x
  3. Step 3: Cross multiply
    530,832.60x = 796,243.95 × 215,214.48
  4. Step 4: Simplify right side
    530,832.60x = 171,363,227,652.40
  5. Step 5: Solve for x
    x = 171,363,227,652.40/530,832.60
  6. Step 6: Final answer
    x = 322,819.71

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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.