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Finding the Fourth Proportional to 308,462.40, 462,823.20 and 168,321.60

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Solution

The fourth proportional to 308,462.40, 462,823.20 and 168,321.60 is: 252,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,462.40 : 462,823.20 = 168,321.60 : x
  2. Step 2: Convert to fraction form
    308,462.40/462,823.20 = 168,321.60/x
  3. Step 3: Cross multiply
    308,462.40x = 462,823.20 × 168,321.60
  4. Step 4: Simplify right side
    308,462.40x = 77,903,141,541.12
  5. Step 5: Solve for x
    x = 77,903,141,541.12/308,462.40
  6. Step 6: Final answer
    x = 252,553.12

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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.