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Finding the Fourth Proportional to 394,405.60, 591,608.40 and 184,064.80

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Solution

The fourth proportional to 394,405.60, 591,608.40 and 184,064.80 is: 276,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,405.60 : 591,608.40 = 184,064.80 : x
  2. Step 2: Convert to fraction form
    394,405.60/591,608.40 = 184,064.80/x
  3. Step 3: Cross multiply
    394,405.60x = 591,608.40 × 184,064.80
  4. Step 4: Simplify right side
    394,405.60x = 108,894,281,824.32
  5. Step 5: Solve for x
    x = 108,894,281,824.32/394,405.60
  6. Step 6: Final answer
    x = 276,097.20

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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.