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Finding the Fourth Proportional to 367,049.62, 506,551.74 and 205,915.10

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Solution

The fourth proportional to 367,049.62, 506,551.74 and 205,915.10 is: 284,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,049.62 : 506,551.74 = 205,915.10 : x
  2. Step 2: Convert to fraction form
    367,049.62/506,551.74 = 205,915.10/x
  3. Step 3: Cross multiply
    367,049.62x = 506,551.74 × 205,915.10
  4. Step 4: Simplify right side
    367,049.62x = 104,306,652,197.27
  5. Step 5: Solve for x
    x = 104,306,652,197.27/367,049.62
  6. Step 6: Final answer
    x = 284,175.89

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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.