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Finding the Fourth Proportional to 722,578.86, 1,079,473.32 and 467,783.64

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Solution

The fourth proportional to 722,578.86, 1,079,473.32 and 467,783.64 is: 698,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,578.86 : 1,079,473.32 = 467,783.64 : x
  2. Step 2: Convert to fraction form
    722,578.86/1,079,473.32 = 467,783.64/x
  3. Step 3: Cross multiply
    722,578.86x = 1,079,473.32 × 467,783.64
  4. Step 4: Simplify right side
    722,578.86x = 504,959,958,912.49
  5. Step 5: Solve for x
    x = 504,959,958,912.49/722,578.86
  6. Step 6: Final answer
    x = 698,830.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.