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Finding the Fourth Proportional to 388,131.81, 582,000.76 and 177,589.32

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Solution

The fourth proportional to 388,131.81, 582,000.76 and 177,589.32 is: 266,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,131.81 : 582,000.76 = 177,589.32 : x
  2. Step 2: Convert to fraction form
    388,131.81/582,000.76 = 177,589.32/x
  3. Step 3: Cross multiply
    388,131.81x = 582,000.76 × 177,589.32
  4. Step 4: Simplify right side
    388,131.81x = 103,357,119,207.88
  5. Step 5: Solve for x
    x = 103,357,119,207.88/388,131.81
  6. Step 6: Final answer
    x = 266,293.86

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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.