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Finding the Fourth Proportional to 590,259.92, 814,557 and 321,986

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Solution

The fourth proportional to 590,259.92, 814,557 and 321,986 is: 444,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,259.92 : 814,557 = 321,986 : x
  2. Step 2: Convert to fraction form
    590,259.92/814,557 = 321,986/x
  3. Step 3: Cross multiply
    590,259.92x = 814,557 × 321,986
  4. Step 4: Simplify right side
    590,259.92x = 262,275,950,202
  5. Step 5: Solve for x
    x = 262,275,950,202/590,259.92
  6. Step 6: Final answer
    x = 444,339.76

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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.