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Finding the Fourth Proportional to 477,287.44, 658,638.96 and 262,414.72

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Solution

The fourth proportional to 477,287.44, 658,638.96 and 262,414.72 is: 362,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,287.44 : 658,638.96 = 262,414.72 : x
  2. Step 2: Convert to fraction form
    477,287.44/658,638.96 = 262,414.72/x
  3. Step 3: Cross multiply
    477,287.44x = 658,638.96 × 262,414.72
  4. Step 4: Simplify right side
    477,287.44x = 172,836,558,269.49
  5. Step 5: Solve for x
    x = 172,836,558,269.49/477,287.44
  6. Step 6: Final answer
    x = 362,122.58

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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.