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Finding the Fourth Proportional to 569,643.42, 853,717.77 and 419,179.26

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Solution

The fourth proportional to 569,643.42, 853,717.77 and 419,179.26 is: 628,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,643.42 : 853,717.77 = 419,179.26 : x
  2. Step 2: Convert to fraction form
    569,643.42/853,717.77 = 419,179.26/x
  3. Step 3: Cross multiply
    569,643.42x = 853,717.77 × 419,179.26
  4. Step 4: Simplify right side
    569,643.42x = 357,860,783,077.45
  5. Step 5: Solve for x
    x = 357,860,783,077.45/569,643.42
  6. Step 6: Final answer
    x = 628,218.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.