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Finding the Fourth Proportional to 298,758.30, 412,286.34 and 162,792.18

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Solution

The fourth proportional to 298,758.30, 412,286.34 and 162,792.18 is: 224,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,758.30 : 412,286.34 = 162,792.18 : x
  2. Step 2: Convert to fraction form
    298,758.30/412,286.34 = 162,792.18/x
  3. Step 3: Cross multiply
    298,758.30x = 412,286.34 × 162,792.18
  4. Step 4: Simplify right side
    298,758.30x = 67,116,992,072.82
  5. Step 5: Solve for x
    x = 67,116,992,072.82/298,758.30
  6. Step 6: Final answer
    x = 224,653.15

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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.