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Finding the Fourth Proportional to 388,523.80, 582,785.70 and 164,137.60

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Solution

The fourth proportional to 388,523.80, 582,785.70 and 164,137.60 is: 246,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,523.80 : 582,785.70 = 164,137.60 : x
  2. Step 2: Convert to fraction form
    388,523.80/582,785.70 = 164,137.60/x
  3. Step 3: Cross multiply
    388,523.80x = 582,785.70 × 164,137.60
  4. Step 4: Simplify right side
    388,523.80x = 95,657,046,112.32
  5. Step 5: Solve for x
    x = 95,657,046,112.32/388,523.80
  6. Step 6: Final answer
    x = 246,206.40

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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.