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Finding the Fourth Proportional to 582,507.24, 873,760 and 183,183

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Solution

The fourth proportional to 582,507.24, 873,760 and 183,183 is: 274,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,507.24 : 873,760 = 183,183 : x
  2. Step 2: Convert to fraction form
    582,507.24/873,760 = 183,183/x
  3. Step 3: Cross multiply
    582,507.24x = 873,760 × 183,183
  4. Step 4: Simplify right side
    582,507.24x = 160,057,978,080
  5. Step 5: Solve for x
    x = 160,057,978,080/582,507.24
  6. Step 6: Final answer
    x = 274,774.23

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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.