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Finding the Fourth Proportional to 397,686.40, 548,816.62 and 225,615.98

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Solution

The fourth proportional to 397,686.40, 548,816.62 and 225,615.98 is: 311,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,686.40 : 548,816.62 = 225,615.98 : x
  2. Step 2: Convert to fraction form
    397,686.40/548,816.62 = 225,615.98/x
  3. Step 3: Cross multiply
    397,686.40x = 548,816.62 × 225,615.98
  4. Step 4: Simplify right side
    397,686.40x = 123,821,799,561.59
  5. Step 5: Solve for x
    x = 123,821,799,561.59/397,686.40
  6. Step 6: Final answer
    x = 311,355.38

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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.