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Finding the Fourth Proportional to 308,544.31, 462,512.80 and 180,297.83

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Solution

The fourth proportional to 308,544.31, 462,512.80 and 180,297.83 is: 270,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,544.31 : 462,512.80 = 180,297.83 : x
  2. Step 2: Convert to fraction form
    308,544.31/462,512.80 = 180,297.83/x
  3. Step 3: Cross multiply
    308,544.31x = 462,512.80 × 180,297.83
  4. Step 4: Simplify right side
    308,544.31x = 83,390,054,442.02
  5. Step 5: Solve for x
    x = 83,390,054,442.02/308,544.31
  6. Step 6: Final answer
    x = 270,269.30

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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.