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Finding the Fourth Proportional to 379,344.52, 523,506.06 and 209,589.64

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Solution

The fourth proportional to 379,344.52, 523,506.06 and 209,589.64 is: 289,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,344.52 : 523,506.06 = 209,589.64 : x
  2. Step 2: Convert to fraction form
    379,344.52/523,506.06 = 209,589.64/x
  3. Step 3: Cross multiply
    379,344.52x = 523,506.06 × 209,589.64
  4. Step 4: Simplify right side
    379,344.52x = 109,721,446,653.22
  5. Step 5: Solve for x
    x = 109,721,446,653.22/379,344.52
  6. Step 6: Final answer
    x = 289,239.57

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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.