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Finding the Fourth Proportional to 590,563.44, 814,977.32 and 322,291.44

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Solution

The fourth proportional to 590,563.44, 814,977.32 and 322,291.44 is: 444,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,563.44 : 814,977.32 = 322,291.44 : x
  2. Step 2: Convert to fraction form
    590,563.44/814,977.32 = 322,291.44/x
  3. Step 3: Cross multiply
    590,563.44x = 814,977.32 × 322,291.44
  4. Step 4: Simplify right side
    590,563.44x = 262,660,214,030.14
  5. Step 5: Solve for x
    x = 262,660,214,030.14/590,563.44
  6. Step 6: Final answer
    x = 444,762.06

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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.