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Finding the Fourth Proportional to 298,986.24, 412,604.22 and 163,019.04

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Solution

The fourth proportional to 298,986.24, 412,604.22 and 163,019.04 is: 224,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,986.24 : 412,604.22 = 163,019.04 : x
  2. Step 2: Convert to fraction form
    298,986.24/412,604.22 = 163,019.04/x
  3. Step 3: Cross multiply
    298,986.24x = 412,604.22 × 163,019.04
  4. Step 4: Simplify right side
    298,986.24x = 67,262,343,844.35
  5. Step 5: Solve for x
    x = 67,262,343,844.35/298,986.24
  6. Step 6: Final answer
    x = 224,968.02

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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.