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Finding the Fourth Proportional to 422,579.98, 583,157.02 and 231,592.91

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Solution

The fourth proportional to 422,579.98, 583,157.02 and 231,592.91 is: 319,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,579.98 : 583,157.02 = 231,592.91 : x
  2. Step 2: Convert to fraction form
    422,579.98/583,157.02 = 231,592.91/x
  3. Step 3: Cross multiply
    422,579.98x = 583,157.02 × 231,592.91
  4. Step 4: Simplify right side
    422,579.98x = 135,055,030,090.76
  5. Step 5: Solve for x
    x = 135,055,030,090.76/422,579.98
  6. Step 6: Final answer
    x = 319,596.38

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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.