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Finding the Fourth Proportional to 447,893.38, 618,136.41 and 334,519.30

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Solution

The fourth proportional to 447,893.38, 618,136.41 and 334,519.30 is: 461,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,893.38 : 618,136.41 = 334,519.30 : x
  2. Step 2: Convert to fraction form
    447,893.38/618,136.41 = 334,519.30/x
  3. Step 3: Cross multiply
    447,893.38x = 618,136.41 × 334,519.30
  4. Step 4: Simplify right side
    447,893.38x = 206,778,559,177.71
  5. Step 5: Solve for x
    x = 206,778,559,177.71/447,893.38
  6. Step 6: Final answer
    x = 461,669.16

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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.