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Finding the Fourth Proportional to 367,049.68, 506,551.83 and 205,915.16

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Solution

The fourth proportional to 367,049.68, 506,551.83 and 205,915.16 is: 284,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,049.68 : 506,551.83 = 205,915.16 : x
  2. Step 2: Convert to fraction form
    367,049.68/506,551.83 = 205,915.16/x
  3. Step 3: Cross multiply
    367,049.68x = 506,551.83 × 205,915.16
  4. Step 4: Simplify right side
    367,049.68x = 104,306,701,616.94
  5. Step 5: Solve for x
    x = 104,306,701,616.94/367,049.68
  6. Step 6: Final answer
    x = 284,175.98

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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.