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Finding the Fourth Proportional to 698,497.36, 964,042.32 and 412,087.84

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Solution

The fourth proportional to 698,497.36, 964,042.32 and 412,087.84 is: 568,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,497.36 : 964,042.32 = 412,087.84 : x
  2. Step 2: Convert to fraction form
    698,497.36/964,042.32 = 412,087.84/x
  3. Step 3: Cross multiply
    698,497.36x = 964,042.32 × 412,087.84
  4. Step 4: Simplify right side
    698,497.36x = 397,270,117,317.39
  5. Step 5: Solve for x
    x = 397,270,117,317.39/698,497.36
  6. Step 6: Final answer
    x = 568,749.63

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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.