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Finding the Fourth Proportional to 421,773.58, 582,047.54 and 230,786.97

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Solution

The fourth proportional to 421,773.58, 582,047.54 and 230,786.97 is: 318,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,773.58 : 582,047.54 = 230,786.97 : x
  2. Step 2: Convert to fraction form
    421,773.58/582,047.54 = 230,786.97/x
  3. Step 3: Cross multiply
    421,773.58x = 582,047.54 × 230,786.97
  4. Step 4: Simplify right side
    421,773.58x = 134,328,987,575.59
  5. Step 5: Solve for x
    x = 134,328,987,575.59/421,773.58
  6. Step 6: Final answer
    x = 318,486.02

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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.