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Finding the Fourth Proportional to 582,974.64, 804,562.38 and 341,242.56

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Solution

The fourth proportional to 582,974.64, 804,562.38 and 341,242.56 is: 470,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,974.64 : 804,562.38 = 341,242.56 : x
  2. Step 2: Convert to fraction form
    582,974.64/804,562.38 = 341,242.56/x
  3. Step 3: Cross multiply
    582,974.64x = 804,562.38 × 341,242.56
  4. Step 4: Simplify right side
    582,974.64x = 274,550,926,230.89
  5. Step 5: Solve for x
    x = 274,550,926,230.89/582,974.64
  6. Step 6: Final answer
    x = 470,948.32

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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.