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Finding the Fourth Proportional to 367,021.54, 506,546.49 and 205,941.70

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Solution

The fourth proportional to 367,021.54, 506,546.49 and 205,941.70 is: 284,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,021.54 : 506,546.49 = 205,941.70 : x
  2. Step 2: Convert to fraction form
    367,021.54/506,546.49 = 205,941.70/x
  3. Step 3: Cross multiply
    367,021.54x = 506,546.49 × 205,941.70
  4. Step 4: Simplify right side
    367,021.54x = 104,319,045,279.63
  5. Step 5: Solve for x
    x = 104,319,045,279.63/367,021.54
  6. Step 6: Final answer
    x = 284,231.40

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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.