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Finding the Fourth Proportional to 299,905.98, 413,915.67 and 172,573.02

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Solution

The fourth proportional to 299,905.98, 413,915.67 and 172,573.02 is: 238,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,905.98 : 413,915.67 = 172,573.02 : x
  2. Step 2: Convert to fraction form
    299,905.98/413,915.67 = 172,573.02/x
  3. Step 3: Cross multiply
    299,905.98x = 413,915.67 × 172,573.02
  4. Step 4: Simplify right side
    299,905.98x = 71,430,677,197.22
  5. Step 5: Solve for x
    x = 71,430,677,197.22/299,905.98
  6. Step 6: Final answer
    x = 238,176.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.