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Finding the Fourth Proportional to 308,968.40, 462,869.40 and 158,697.20

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Solution

The fourth proportional to 308,968.40, 462,869.40 and 158,697.20 is: 237,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,968.40 : 462,869.40 = 158,697.20 : x
  2. Step 2: Convert to fraction form
    308,968.40/462,869.40 = 158,697.20/x
  3. Step 3: Cross multiply
    308,968.40x = 462,869.40 × 158,697.20
  4. Step 4: Simplify right side
    308,968.40x = 73,456,077,745.68
  5. Step 5: Solve for x
    x = 73,456,077,745.68/308,968.40
  6. Step 6: Final answer
    x = 237,746.25

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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.