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Finding the Fourth Proportional to 367,187.88, 506,769.68 and 206,052.42

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Solution

The fourth proportional to 367,187.88, 506,769.68 and 206,052.42 is: 284,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,187.88 : 506,769.68 = 206,052.42 : x
  2. Step 2: Convert to fraction form
    367,187.88/506,769.68 = 206,052.42/x
  3. Step 3: Cross multiply
    367,187.88x = 506,769.68 × 206,052.42
  4. Step 4: Simplify right side
    367,187.88x = 104,421,118,946.63
  5. Step 5: Solve for x
    x = 104,421,118,946.63/367,187.88
  6. Step 6: Final answer
    x = 284,380.63

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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.