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Finding the Fourth Proportional to 483,654.40, 724,963.20 and 184,019.20

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Solution

The fourth proportional to 483,654.40, 724,963.20 and 184,019.20 is: 275,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,654.40 : 724,963.20 = 184,019.20 : x
  2. Step 2: Convert to fraction form
    483,654.40/724,963.20 = 184,019.20/x
  3. Step 3: Cross multiply
    483,654.40x = 724,963.20 × 184,019.20
  4. Step 4: Simplify right side
    483,654.40x = 133,407,148,093.44
  5. Step 5: Solve for x
    x = 133,407,148,093.44/483,654.40
  6. Step 6: Final answer
    x = 275,831.56

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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.