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Finding the Fourth Proportional to 705,296.89, 973,973.99 and 491,022.85

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Solution

The fourth proportional to 705,296.89, 973,973.99 and 491,022.85 is: 678,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,296.89 : 973,973.99 = 491,022.85 : x
  2. Step 2: Convert to fraction form
    705,296.89/973,973.99 = 491,022.85/x
  3. Step 3: Cross multiply
    705,296.89x = 973,973.99 × 491,022.85
  4. Step 4: Simplify right side
    705,296.89x = 478,243,481,940.56
  5. Step 5: Solve for x
    x = 478,243,481,940.56/705,296.89
  6. Step 6: Final answer
    x = 678,074.00

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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.