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Finding the Fourth Proportional to 324,766.30, 487,138.47 and 114,398.74

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Solution

The fourth proportional to 324,766.30, 487,138.47 and 114,398.74 is: 171,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,766.30 : 487,138.47 = 114,398.74 : x
  2. Step 2: Convert to fraction form
    324,766.30/487,138.47 = 114,398.74/x
  3. Step 3: Cross multiply
    324,766.30x = 487,138.47 × 114,398.74
  4. Step 4: Simplify right side
    324,766.30x = 55,728,027,173.53
  5. Step 5: Solve for x
    x = 55,728,027,173.53/324,766.30
  6. Step 6: Final answer
    x = 171,594.24

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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.