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Finding the Fourth Proportional to 465,981.60, 699,119.12 and 166,455.60

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Solution

The fourth proportional to 465,981.60, 699,119.12 and 166,455.60 is: 249,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,981.60 : 699,119.12 = 166,455.60 : x
  2. Step 2: Convert to fraction form
    465,981.60/699,119.12 = 166,455.60/x
  3. Step 3: Cross multiply
    465,981.60x = 699,119.12 × 166,455.60
  4. Step 4: Simplify right side
    465,981.60x = 116,372,292,591.07
  5. Step 5: Solve for x
    x = 116,372,292,591.07/465,981.60
  6. Step 6: Final answer
    x = 249,735.81

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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.