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Finding the Fourth Proportional to 385,104.03, 531,462.21 and 213,021.24

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Solution

The fourth proportional to 385,104.03, 531,462.21 and 213,021.24 is: 293,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,104.03 : 531,462.21 = 213,021.24 : x
  2. Step 2: Convert to fraction form
    385,104.03/531,462.21 = 213,021.24/x
  3. Step 3: Cross multiply
    385,104.03x = 531,462.21 × 213,021.24
  4. Step 4: Simplify right side
    385,104.03x = 113,212,738,987.34
  5. Step 5: Solve for x
    x = 113,212,738,987.34/385,104.03
  6. Step 6: Final answer
    x = 293,979.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.