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Finding the Fourth Proportional to 465,981.62, 699,119.14 and 166,455.58

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Solution

The fourth proportional to 465,981.62, 699,119.14 and 166,455.58 is: 249,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,981.62 : 699,119.14 = 166,455.58 : x
  2. Step 2: Convert to fraction form
    465,981.62/699,119.14 = 166,455.58/x
  3. Step 3: Cross multiply
    465,981.62x = 699,119.14 × 166,455.58
  4. Step 4: Simplify right side
    465,981.62x = 116,372,281,937.80
  5. Step 5: Solve for x
    x = 116,372,281,937.80/465,981.62
  6. Step 6: Final answer
    x = 249,735.78

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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.