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Finding the Fourth Proportional to 298,404.45, 447,611.40 and 166,125.47

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Solution

The fourth proportional to 298,404.45, 447,611.40 and 166,125.47 is: 249,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,404.45 : 447,611.40 = 166,125.47 : x
  2. Step 2: Convert to fraction form
    298,404.45/447,611.40 = 166,125.47/x
  3. Step 3: Cross multiply
    298,404.45x = 447,611.40 × 166,125.47
  4. Step 4: Simplify right side
    298,404.45x = 74,359,651,964.30
  5. Step 5: Solve for x
    x = 74,359,651,964.30/298,404.45
  6. Step 6: Final answer
    x = 249,190.83

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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.