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Finding the Fourth Proportional to 613,940.37, 846,914.42 and 409,999.89

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Solution

The fourth proportional to 613,940.37, 846,914.42 and 409,999.89 is: 565,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,940.37 : 846,914.42 = 409,999.89 : x
  2. Step 2: Convert to fraction form
    613,940.37/846,914.42 = 409,999.89/x
  3. Step 3: Cross multiply
    613,940.37x = 846,914.42 × 409,999.89
  4. Step 4: Simplify right side
    613,940.37x = 347,234,816,989.41
  5. Step 5: Solve for x
    x = 347,234,816,989.41/613,940.37
  6. Step 6: Final answer
    x = 565,583.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.