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Finding the Fourth Proportional to 298,724.52, 447,055.74 and 184,825.56

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Solution

The fourth proportional to 298,724.52, 447,055.74 and 184,825.56 is: 276,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,724.52 : 447,055.74 = 184,825.56 : x
  2. Step 2: Convert to fraction form
    298,724.52/447,055.74 = 184,825.56/x
  3. Step 3: Cross multiply
    298,724.52x = 447,055.74 × 184,825.56
  4. Step 4: Simplify right side
    298,724.52x = 82,627,327,496.71
  5. Step 5: Solve for x
    x = 82,627,327,496.71/298,724.52
  6. Step 6: Final answer
    x = 276,600.42

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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.