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Finding the Fourth Proportional to 422,590.41, 583,173.64 and 229,003.49

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Solution

The fourth proportional to 422,590.41, 583,173.64 and 229,003.49 is: 316,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,590.41 : 583,173.64 = 229,003.49 : x
  2. Step 2: Convert to fraction form
    422,590.41/583,173.64 = 229,003.49/x
  3. Step 3: Cross multiply
    422,590.41x = 583,173.64 × 229,003.49
  4. Step 4: Simplify right side
    422,590.41x = 133,548,797,690.99
  5. Step 5: Solve for x
    x = 133,548,797,690.99/422,590.41
  6. Step 6: Final answer
    x = 316,024.20

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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.