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Finding the Fourth Proportional to 583,231.75, 804,859.82 and 314,959.75

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Solution

The fourth proportional to 583,231.75, 804,859.82 and 314,959.75 is: 434,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,231.75 : 804,859.82 = 314,959.75 : x
  2. Step 2: Convert to fraction form
    583,231.75/804,859.82 = 314,959.75/x
  3. Step 3: Cross multiply
    583,231.75x = 804,859.82 × 314,959.75
  4. Step 4: Simplify right side
    583,231.75x = 253,498,447,692.25
  5. Step 5: Solve for x
    x = 253,498,447,692.25/583,231.75
  6. Step 6: Final answer
    x = 434,644.46

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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.