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Finding the Fourth Proportional to 308,930.40, 462,812.40 and 158,659.20

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Solution

The fourth proportional to 308,930.40, 462,812.40 and 158,659.20 is: 237,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,930.40 : 462,812.40 = 158,659.20 : x
  2. Step 2: Convert to fraction form
    308,930.40/462,812.40 = 158,659.20/x
  3. Step 3: Cross multiply
    308,930.40x = 462,812.40 × 158,659.20
  4. Step 4: Simplify right side
    308,930.40x = 73,429,445,134.08
  5. Step 5: Solve for x
    x = 73,429,445,134.08/308,930.40
  6. Step 6: Final answer
    x = 237,689.28

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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.