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Finding the Fourth Proportional to 569,651.46, 853,729.68 and 419,187.20

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Solution

The fourth proportional to 569,651.46, 853,729.68 and 419,187.20 is: 628,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,651.46 : 853,729.68 = 419,187.20 : x
  2. Step 2: Convert to fraction form
    569,651.46/853,729.68 = 419,187.20/x
  3. Step 3: Cross multiply
    569,651.46x = 853,729.68 × 419,187.20
  4. Step 4: Simplify right side
    569,651.46x = 357,872,554,116.10
  5. Step 5: Solve for x
    x = 357,872,554,116.10/569,651.46
  6. Step 6: Final answer
    x = 628,230.73

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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.