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Finding the Fourth Proportional to 298,253.61, 447,056.01 and 148,604.49

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Solution

The fourth proportional to 298,253.61, 447,056.01 and 148,604.49 is: 222,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,253.61 : 447,056.01 = 148,604.49 : x
  2. Step 2: Convert to fraction form
    298,253.61/447,056.01 = 148,604.49/x
  3. Step 3: Cross multiply
    298,253.61x = 447,056.01 × 148,604.49
  4. Step 4: Simplify right side
    298,253.61x = 66,434,530,367.48
  5. Step 5: Solve for x
    x = 66,434,530,367.48/298,253.61
  6. Step 6: Final answer
    x = 222,745.10

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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.