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Finding the Fourth Proportional to 418,660.19, 577,745.64 and 227,669.48

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Solution

The fourth proportional to 418,660.19, 577,745.64 and 227,669.48 is: 314,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,660.19 : 577,745.64 = 227,669.48 : x
  2. Step 2: Convert to fraction form
    418,660.19/577,745.64 = 227,669.48/x
  3. Step 3: Cross multiply
    418,660.19x = 577,745.64 × 227,669.48
  4. Step 4: Simplify right side
    418,660.19x = 131,535,045,403.99
  5. Step 5: Solve for x
    x = 131,535,045,403.99/418,660.19
  6. Step 6: Final answer
    x = 314,180.93

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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.