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Finding the Fourth Proportional to 705,420.91, 973,634.25 and 433,721.44

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Solution

The fourth proportional to 705,420.91, 973,634.25 and 433,721.44 is: 598,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,420.91 : 973,634.25 = 433,721.44 : x
  2. Step 2: Convert to fraction form
    705,420.91/973,634.25 = 433,721.44/x
  3. Step 3: Cross multiply
    705,420.91x = 973,634.25 × 433,721.44
  4. Step 4: Simplify right side
    705,420.91x = 422,286,048,943.32
  5. Step 5: Solve for x
    x = 422,286,048,943.32/705,420.91
  6. Step 6: Final answer
    x = 598,629.90

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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.