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Finding the Fourth Proportional to 434,584.86, 599,728.38 and 241,006.20

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Solution

The fourth proportional to 434,584.86, 599,728.38 and 241,006.20 is: 332,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,584.86 : 599,728.38 = 241,006.20 : x
  2. Step 2: Convert to fraction form
    434,584.86/599,728.38 = 241,006.20/x
  3. Step 3: Cross multiply
    434,584.86x = 599,728.38 × 241,006.20
  4. Step 4: Simplify right side
    434,584.86x = 144,538,257,895.96
  5. Step 5: Solve for x
    x = 144,538,257,895.96/434,584.86
  6. Step 6: Final answer
    x = 332,589.26

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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.