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Finding the Fourth Proportional to 698,490.36, 964,032.66 and 412,080.84

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Solution

The fourth proportional to 698,490.36, 964,032.66 and 412,080.84 is: 568,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,490.36 : 964,032.66 = 412,080.84 : x
  2. Step 2: Convert to fraction form
    698,490.36/964,032.66 = 412,080.84/x
  3. Step 3: Cross multiply
    698,490.36x = 964,032.66 × 412,080.84
  4. Step 4: Simplify right side
    698,490.36x = 397,259,388,320.23
  5. Step 5: Solve for x
    x = 397,259,388,320.23/698,490.36
  6. Step 6: Final answer
    x = 568,739.97

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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.