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Finding the Fourth Proportional to 325,038.31, 487,623.96 and 111,778.54

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Solution

The fourth proportional to 325,038.31, 487,623.96 and 111,778.54 is: 167,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,038.31 : 487,623.96 = 111,778.54 : x
  2. Step 2: Convert to fraction form
    325,038.31/487,623.96 = 111,778.54/x
  3. Step 3: Cross multiply
    325,038.31x = 487,623.96 × 111,778.54
  4. Step 4: Simplify right side
    325,038.31x = 54,505,894,317.82
  5. Step 5: Solve for x
    x = 54,505,894,317.82/325,038.31
  6. Step 6: Final answer
    x = 167,690.68

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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.