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Finding the Fourth Proportional to 338,614.01, 507,915.85 and 82,448.98

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Solution

The fourth proportional to 338,614.01, 507,915.85 and 82,448.98 is: 123,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,614.01 : 507,915.85 = 82,448.98 : x
  2. Step 2: Convert to fraction form
    338,614.01/507,915.85 = 82,448.98/x
  3. Step 3: Cross multiply
    338,614.01x = 507,915.85 × 82,448.98
  4. Step 4: Simplify right side
    338,614.01x = 41,877,143,758.33
  5. Step 5: Solve for x
    x = 41,877,143,758.33/338,614.01
  6. Step 6: Final answer
    x = 123,672.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.