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Finding the Fourth Proportional to 830,993.21, 1,146,770.94 and 449,019.99

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Solution

The fourth proportional to 830,993.21, 1,146,770.94 and 449,019.99 is: 619,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,993.21 : 1,146,770.94 = 449,019.99 : x
  2. Step 2: Convert to fraction form
    830,993.21/1,146,770.94 = 449,019.99/x
  3. Step 3: Cross multiply
    830,993.21x = 1,146,770.94 × 449,019.99
  4. Step 4: Simplify right side
    830,993.21x = 514,923,076,011.09
  5. Step 5: Solve for x
    x = 514,923,076,011.09/830,993.21
  6. Step 6: Final answer
    x = 619,647.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.