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Finding the Fourth Proportional to 394,809.14, 592,476.15 and 184,463.48

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Solution

The fourth proportional to 394,809.14, 592,476.15 and 184,463.48 is: 276,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,809.14 : 592,476.15 = 184,463.48 : x
  2. Step 2: Convert to fraction form
    394,809.14/592,476.15 = 184,463.48/x
  3. Step 3: Cross multiply
    394,809.14x = 592,476.15 × 184,463.48
  4. Step 4: Simplify right side
    394,809.14x = 109,290,212,446.00
  5. Step 5: Solve for x
    x = 109,290,212,446.00/394,809.14
  6. Step 6: Final answer
    x = 276,817.84

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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.