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Finding the Fourth Proportional to 308,960.20, 463,829.10 and 166,918.60

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Solution

The fourth proportional to 308,960.20, 463,829.10 and 166,918.60 is: 250,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,960.20 : 463,829.10 = 166,918.60 : x
  2. Step 2: Convert to fraction form
    308,960.20/463,829.10 = 166,918.60/x
  3. Step 3: Cross multiply
    308,960.20x = 463,829.10 × 166,918.60
  4. Step 4: Simplify right side
    308,960.20x = 77,421,704,011.26
  5. Step 5: Solve for x
    x = 77,421,704,011.26/308,960.20
  6. Step 6: Final answer
    x = 250,587.95

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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.