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Finding the Fourth Proportional to 583,540.98, 805,164.42 and 354,218.24

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Solution

The fourth proportional to 583,540.98, 805,164.42 and 354,218.24 is: 488,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,540.98 : 805,164.42 = 354,218.24 : x
  2. Step 2: Convert to fraction form
    583,540.98/805,164.42 = 354,218.24/x
  3. Step 3: Cross multiply
    583,540.98x = 805,164.42 × 354,218.24
  4. Step 4: Simplify right side
    583,540.98x = 285,203,923,763.02
  5. Step 5: Solve for x
    x = 285,203,923,763.02/583,540.98
  6. Step 6: Final answer
    x = 488,747.03

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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.