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Finding the Fourth Proportional to 582,302, 873,453.42 and 161,578.28

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Solution

The fourth proportional to 582,302, 873,453.42 and 161,578.28 is: 242,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,302 : 873,453.42 = 161,578.28 : x
  2. Step 2: Convert to fraction form
    582,302/873,453.42 = 161,578.28/x
  3. Step 3: Cross multiply
    582,302x = 873,453.42 × 161,578.28
  4. Step 4: Simplify right side
    582,302x = 141,131,101,263.72
  5. Step 5: Solve for x
    x = 141,131,101,263.72/582,302
  6. Step 6: Final answer
    x = 242,367.54

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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.