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Finding the Fourth Proportional to 665,121.36, 917,211.72 and 410,418.48

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Solution

The fourth proportional to 665,121.36, 917,211.72 and 410,418.48 is: 565,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,121.36 : 917,211.72 = 410,418.48 : x
  2. Step 2: Convert to fraction form
    665,121.36/917,211.72 = 410,418.48/x
  3. Step 3: Cross multiply
    665,121.36x = 917,211.72 × 410,418.48
  4. Step 4: Simplify right side
    665,121.36x = 376,440,639,960.59
  5. Step 5: Solve for x
    x = 376,440,639,960.59/665,121.36
  6. Step 6: Final answer
    x = 565,972.86

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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.