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Finding the Fourth Proportional to 590,797.44, 815,296.32 and 322,525.44

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Solution

The fourth proportional to 590,797.44, 815,296.32 and 322,525.44 is: 445,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,797.44 : 815,296.32 = 322,525.44 : x
  2. Step 2: Convert to fraction form
    590,797.44/815,296.32 = 322,525.44/x
  3. Step 3: Cross multiply
    590,797.44x = 815,296.32 × 322,525.44
  4. Step 4: Simplify right side
    590,797.44x = 262,953,804,338.38
  5. Step 5: Solve for x
    x = 262,953,804,338.38/590,797.44
  6. Step 6: Final answer
    x = 445,082.84

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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.