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Finding the Fourth Proportional to 388,246.80, 582,197.40 and 177,949.20

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Solution

The fourth proportional to 388,246.80, 582,197.40 and 177,949.20 is: 266,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,246.80 : 582,197.40 = 177,949.20 : x
  2. Step 2: Convert to fraction form
    388,246.80/582,197.40 = 177,949.20/x
  3. Step 3: Cross multiply
    388,246.80x = 582,197.40 × 177,949.20
  4. Step 4: Simplify right side
    388,246.80x = 103,601,561,572.08
  5. Step 5: Solve for x
    x = 103,601,561,572.08/388,246.80
  6. Step 6: Final answer
    x = 266,844.60

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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.