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Finding the Fourth Proportional to 416,222.93, 624,308.76 and 256,329.33

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Solution

The fourth proportional to 416,222.93, 624,308.76 and 256,329.33 is: 384,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,222.93 : 624,308.76 = 256,329.33 : x
  2. Step 2: Convert to fraction form
    416,222.93/624,308.76 = 256,329.33/x
  3. Step 3: Cross multiply
    416,222.93x = 624,308.76 × 256,329.33
  4. Step 4: Simplify right side
    416,222.93x = 160,028,646,163.93
  5. Step 5: Solve for x
    x = 160,028,646,163.93/416,222.93
  6. Step 6: Final answer
    x = 384,478.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.