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Finding the Fourth Proportional to 519,653.89, 779,546.44 and 164,540.98

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Solution

The fourth proportional to 519,653.89, 779,546.44 and 164,540.98 is: 246,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,653.89 : 779,546.44 = 164,540.98 : x
  2. Step 2: Convert to fraction form
    519,653.89/779,546.44 = 164,540.98/x
  3. Step 3: Cross multiply
    519,653.89x = 779,546.44 × 164,540.98
  4. Step 4: Simplify right side
    519,653.89x = 128,267,331,295.38
  5. Step 5: Solve for x
    x = 128,267,331,295.38/519,653.89
  6. Step 6: Final answer
    x = 246,832.24

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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.