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Finding the Fourth Proportional to 416,694.77, 574,516.02 and 340,136.07

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Solution

The fourth proportional to 416,694.77, 574,516.02 and 340,136.07 is: 468,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,694.77 : 574,516.02 = 340,136.07 : x
  2. Step 2: Convert to fraction form
    416,694.77/574,516.02 = 340,136.07/x
  3. Step 3: Cross multiply
    416,694.77x = 574,516.02 × 340,136.07
  4. Step 4: Simplify right side
    416,694.77x = 195,413,621,194.84
  5. Step 5: Solve for x
    x = 195,413,621,194.84/416,694.77
  6. Step 6: Final answer
    x = 468,961.06

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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.