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Finding the Fourth Proportional to 394,212.60, 590,444.10 and 341,724.60

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Solution

The fourth proportional to 394,212.60, 590,444.10 and 341,724.60 is: 511,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,212.60 : 590,444.10 = 341,724.60 : x
  2. Step 2: Convert to fraction form
    394,212.60/590,444.10 = 341,724.60/x
  3. Step 3: Cross multiply
    394,212.60x = 590,444.10 × 341,724.60
  4. Step 4: Simplify right side
    394,212.60x = 201,769,273,894.86
  5. Step 5: Solve for x
    x = 201,769,273,894.86/394,212.60
  6. Step 6: Final answer
    x = 511,828.58

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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.