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Finding the Fourth Proportional to 298,894.14, 412,471.22 and 162,928.08

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Solution

The fourth proportional to 298,894.14, 412,471.22 and 162,928.08 is: 224,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,894.14 : 412,471.22 = 162,928.08 : x
  2. Step 2: Convert to fraction form
    298,894.14/412,471.22 = 162,928.08/x
  3. Step 3: Cross multiply
    298,894.14x = 412,471.22 × 162,928.08
  4. Step 4: Simplify right side
    298,894.14x = 67,203,143,115.22
  5. Step 5: Solve for x
    x = 67,203,143,115.22/298,894.14
  6. Step 6: Final answer
    x = 224,839.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.