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Finding the Fourth Proportional to 394,329.60, 590,716.80 and 227,923.20

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Solution

The fourth proportional to 394,329.60, 590,716.80 and 227,923.20 is: 341,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,329.60 : 590,716.80 = 227,923.20 : x
  2. Step 2: Convert to fraction form
    394,329.60/590,716.80 = 227,923.20/x
  3. Step 3: Cross multiply
    394,329.60x = 590,716.80 × 227,923.20
  4. Step 4: Simplify right side
    394,329.60x = 134,638,063,349.76
  5. Step 5: Solve for x
    x = 134,638,063,349.76/394,329.60
  6. Step 6: Final answer
    x = 341,435.35

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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.