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Finding the Fourth Proportional to 264,494.03, 396,615.98 and 102,463.97

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Solution

The fourth proportional to 264,494.03, 396,615.98 and 102,463.97 is: 153,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,494.03 : 396,615.98 = 102,463.97 : x
  2. Step 2: Convert to fraction form
    264,494.03/396,615.98 = 102,463.97/x
  3. Step 3: Cross multiply
    264,494.03x = 396,615.98 × 102,463.97
  4. Step 4: Simplify right side
    264,494.03x = 40,638,846,868.15
  5. Step 5: Solve for x
    x = 40,638,846,868.15/264,494.03
  6. Step 6: Final answer
    x = 153,647.50

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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.