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Finding the Fourth Proportional to 367,084.91, 506,582.10 and 205,930.35

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Solution

The fourth proportional to 367,084.91, 506,582.10 and 205,930.35 is: 284,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,084.91 : 506,582.10 = 205,930.35 : x
  2. Step 2: Convert to fraction form
    367,084.91/506,582.10 = 205,930.35/x
  3. Step 3: Cross multiply
    367,084.91x = 506,582.10 × 205,930.35
  4. Step 4: Simplify right side
    367,084.91x = 104,320,629,156.74
  5. Step 5: Solve for x
    x = 104,320,629,156.74/367,084.91
  6. Step 6: Final answer
    x = 284,186.64

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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.