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Finding the Fourth Proportional to 367,946.88, 507,768.12 and 206,808.72

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Solution

The fourth proportional to 367,946.88, 507,768.12 and 206,808.72 is: 285,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,946.88 : 507,768.12 = 206,808.72 : x
  2. Step 2: Convert to fraction form
    367,946.88/507,768.12 = 206,808.72/x
  3. Step 3: Cross multiply
    367,946.88x = 507,768.12 × 206,808.72
  4. Step 4: Simplify right side
    367,946.88x = 105,010,874,954.01
  5. Step 5: Solve for x
    x = 105,010,874,954.01/367,946.88
  6. Step 6: Final answer
    x = 285,396.83

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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.