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Finding the Fourth Proportional to 324,693.60, 487,088.82 and 100,035.24

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Solution

The fourth proportional to 324,693.60, 487,088.82 and 100,035.24 is: 150,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,693.60 : 487,088.82 = 100,035.24 : x
  2. Step 2: Convert to fraction form
    324,693.60/487,088.82 = 100,035.24/x
  3. Step 3: Cross multiply
    324,693.60x = 487,088.82 × 100,035.24
  4. Step 4: Simplify right side
    324,693.60x = 48,726,047,010.02
  5. Step 5: Solve for x
    x = 48,726,047,010.02/324,693.60
  6. Step 6: Final answer
    x = 150,067.78

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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.