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Finding the Fourth Proportional to 394,761.60, 592,142.40 and 184,809.60

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Solution

The fourth proportional to 394,761.60, 592,142.40 and 184,809.60 is: 277,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,761.60 : 592,142.40 = 184,809.60 : x
  2. Step 2: Convert to fraction form
    394,761.60/592,142.40 = 184,809.60/x
  3. Step 3: Cross multiply
    394,761.60x = 592,142.40 × 184,809.60
  4. Step 4: Simplify right side
    394,761.60x = 109,433,600,087.04
  5. Step 5: Solve for x
    x = 109,433,600,087.04/394,761.60
  6. Step 6: Final answer
    x = 277,214.40

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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.