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Finding the Fourth Proportional to 394,328.60, 590,715.30 and 227,922.20

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Solution

The fourth proportional to 394,328.60, 590,715.30 and 227,922.20 is: 341,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,328.60 : 590,715.30 = 227,922.20 : x
  2. Step 2: Convert to fraction form
    394,328.60/590,715.30 = 227,922.20/x
  3. Step 3: Cross multiply
    394,328.60x = 590,715.30 × 227,922.20
  4. Step 4: Simplify right side
    394,328.60x = 134,637,130,749.66
  5. Step 5: Solve for x
    x = 134,637,130,749.66/394,328.60
  6. Step 6: Final answer
    x = 341,433.85

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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.