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Finding the Fourth Proportional to 642,057.21, 886,021.11 and 366,409.83

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Solution

The fourth proportional to 642,057.21, 886,021.11 and 366,409.83 is: 505,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,057.21 : 886,021.11 = 366,409.83 : x
  2. Step 2: Convert to fraction form
    642,057.21/886,021.11 = 366,409.83/x
  3. Step 3: Cross multiply
    642,057.21x = 886,021.11 × 366,409.83
  4. Step 4: Simplify right side
    642,057.21x = 324,646,844,291.51
  5. Step 5: Solve for x
    x = 324,646,844,291.51/642,057.21
  6. Step 6: Final answer
    x = 505,635.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.