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Finding the Fourth Proportional to 288,011, 397,528.08 and 171,849.44

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Solution

The fourth proportional to 288,011, 397,528.08 and 171,849.44 is: 237,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,011 : 397,528.08 = 171,849.44 : x
  2. Step 2: Convert to fraction form
    288,011/397,528.08 = 171,849.44/x
  3. Step 3: Cross multiply
    288,011x = 397,528.08 × 171,849.44
  4. Step 4: Simplify right side
    288,011x = 68,314,977,932.28
  5. Step 5: Solve for x
    x = 68,314,977,932.28/288,011
  6. Step 6: Final answer
    x = 237,195.72

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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.