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Finding the Fourth Proportional to 385,189.59, 531,556.92 and 213,120.08

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Solution

The fourth proportional to 385,189.59, 531,556.92 and 213,120.08 is: 294,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,189.59 : 531,556.92 = 213,120.08 : x
  2. Step 2: Convert to fraction form
    385,189.59/531,556.92 = 213,120.08/x
  3. Step 3: Cross multiply
    385,189.59x = 531,556.92 × 213,120.08
  4. Step 4: Simplify right side
    385,189.59x = 113,285,450,657.17
  5. Step 5: Solve for x
    x = 113,285,450,657.17/385,189.59
  6. Step 6: Final answer
    x = 294,103.10

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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.