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Finding the Fourth Proportional to 458,915.22, 688,268.88 and 174,504.38

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Solution

The fourth proportional to 458,915.22, 688,268.88 and 174,504.38 is: 261,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,915.22 : 688,268.88 = 174,504.38 : x
  2. Step 2: Convert to fraction form
    458,915.22/688,268.88 = 174,504.38/x
  3. Step 3: Cross multiply
    458,915.22x = 688,268.88 × 174,504.38
  4. Step 4: Simplify right side
    458,915.22x = 120,105,930,736.35
  5. Step 5: Solve for x
    x = 120,105,930,736.35/458,915.22
  6. Step 6: Final answer
    x = 261,717.04

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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.