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Finding the Fourth Proportional to 443,214.36, 611,635.32 and 261,991.80

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Solution

The fourth proportional to 443,214.36, 611,635.32 and 261,991.80 is: 361,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,214.36 : 611,635.32 = 261,991.80 : x
  2. Step 2: Convert to fraction form
    443,214.36/611,635.32 = 261,991.80/x
  3. Step 3: Cross multiply
    443,214.36x = 611,635.32 × 261,991.80
  4. Step 4: Simplify right side
    443,214.36x = 160,243,438,430.38
  5. Step 5: Solve for x
    x = 160,243,438,430.38/443,214.36
  6. Step 6: Final answer
    x = 361,548.39

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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.