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Finding the Fourth Proportional to 419,728.80, 579,208.86 and 228,738.12

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Solution

The fourth proportional to 419,728.80, 579,208.86 and 228,738.12 is: 315,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,728.80 : 579,208.86 = 228,738.12 : x
  2. Step 2: Convert to fraction form
    419,728.80/579,208.86 = 228,738.12/x
  3. Step 3: Cross multiply
    419,728.80x = 579,208.86 × 228,738.12
  4. Step 4: Simplify right side
    419,728.80x = 132,487,145,723.74
  5. Step 5: Solve for x
    x = 132,487,145,723.74/419,728.80
  6. Step 6: Final answer
    x = 315,649.40

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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.