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Finding the Fourth Proportional to 519,093.44, 778,635.30 and 164,107.50

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Solution

The fourth proportional to 519,093.44, 778,635.30 and 164,107.50 is: 246,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,093.44 : 778,635.30 = 164,107.50 : x
  2. Step 2: Convert to fraction form
    519,093.44/778,635.30 = 164,107.50/x
  3. Step 3: Cross multiply
    519,093.44x = 778,635.30 × 164,107.50
  4. Step 4: Simplify right side
    519,093.44x = 127,779,892,494.75
  5. Step 5: Solve for x
    x = 127,779,892,494.75/519,093.44
  6. Step 6: Final answer
    x = 246,159.71

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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.