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Finding the Fourth Proportional to 388,243.80, 582,192.90 and 177,946.20

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Solution

The fourth proportional to 388,243.80, 582,192.90 and 177,946.20 is: 266,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,243.80 : 582,192.90 = 177,946.20 : x
  2. Step 2: Convert to fraction form
    388,243.80/582,192.90 = 177,946.20/x
  3. Step 3: Cross multiply
    388,243.80x = 582,192.90 × 177,946.20
  4. Step 4: Simplify right side
    388,243.80x = 103,599,014,221.98
  5. Step 5: Solve for x
    x = 103,599,014,221.98/388,243.80
  6. Step 6: Final answer
    x = 266,840.10

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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.