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Finding the Fourth Proportional to 367,245.98, 506,809.50 and 206,111.01

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Solution

The fourth proportional to 367,245.98, 506,809.50 and 206,111.01 is: 284,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,245.98 : 506,809.50 = 206,111.01 : x
  2. Step 2: Convert to fraction form
    367,245.98/506,809.50 = 206,111.01/x
  3. Step 3: Cross multiply
    367,245.98x = 506,809.50 × 206,111.01
  4. Step 4: Simplify right side
    367,245.98x = 104,459,017,149.68
  5. Step 5: Solve for x
    x = 104,459,017,149.68/367,245.98
  6. Step 6: Final answer
    x = 284,438.83

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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.