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Finding the Fourth Proportional to 582,622.72, 804,034.56 and 327,983.20

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Solution

The fourth proportional to 582,622.72, 804,034.56 and 327,983.20 is: 452,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,622.72 : 804,034.56 = 327,983.20 : x
  2. Step 2: Convert to fraction form
    582,622.72/804,034.56 = 327,983.20/x
  3. Step 3: Cross multiply
    582,622.72x = 804,034.56 × 327,983.20
  4. Step 4: Simplify right side
    582,622.72x = 263,709,827,899.39
  5. Step 5: Solve for x
    x = 263,709,827,899.39/582,622.72
  6. Step 6: Final answer
    x = 452,625.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.