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Finding the Fourth Proportional to 388,132.31, 582,001.51 and 177,589.82

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Solution

The fourth proportional to 388,132.31, 582,001.51 and 177,589.82 is: 266,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,132.31 : 582,001.51 = 177,589.82 : x
  2. Step 2: Convert to fraction form
    388,132.31/582,001.51 = 177,589.82/x
  3. Step 3: Cross multiply
    388,132.31x = 582,001.51 × 177,589.82
  4. Step 4: Simplify right side
    388,132.31x = 103,357,543,400.63
  5. Step 5: Solve for x
    x = 103,357,543,400.63/388,132.31
  6. Step 6: Final answer
    x = 266,294.61

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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.