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Finding the Fourth Proportional to 361,917.16, 542,690.25 and 191,230.54

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Solution

The fourth proportional to 361,917.16, 542,690.25 and 191,230.54 is: 286,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,917.16 : 542,690.25 = 191,230.54 : x
  2. Step 2: Convert to fraction form
    361,917.16/542,690.25 = 191,230.54/x
  3. Step 3: Cross multiply
    361,917.16x = 542,690.25 × 191,230.54
  4. Step 4: Simplify right side
    361,917.16x = 103,778,949,560.24
  5. Step 5: Solve for x
    x = 103,778,949,560.24/361,917.16
  6. Step 6: Final answer
    x = 286,747.80

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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.