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Finding the Fourth Proportional to 331,649.40, 497,544.93 and 107,022.60

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Solution

The fourth proportional to 331,649.40, 497,544.93 and 107,022.60 is: 160,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,649.40 : 497,544.93 = 107,022.60 : x
  2. Step 2: Convert to fraction form
    331,649.40/497,544.93 = 107,022.60/x
  3. Step 3: Cross multiply
    331,649.40x = 497,544.93 × 107,022.60
  4. Step 4: Simplify right side
    331,649.40x = 53,248,552,025.42
  5. Step 5: Solve for x
    x = 53,248,552,025.42/331,649.40
  6. Step 6: Final answer
    x = 160,556.76

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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.