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Finding the Fourth Proportional to 416,291.16, 624,685.84 and 179,633.84

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Solution

The fourth proportional to 416,291.16, 624,685.84 and 179,633.84 is: 269,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,291.16 : 624,685.84 = 179,633.84 : x
  2. Step 2: Convert to fraction form
    416,291.16/624,685.84 = 179,633.84/x
  3. Step 3: Cross multiply
    416,291.16x = 624,685.84 × 179,633.84
  4. Step 4: Simplify right side
    416,291.16x = 112,214,716,232.83
  5. Step 5: Solve for x
    x = 112,214,716,232.83/416,291.16
  6. Step 6: Final answer
    x = 269,558.25

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Why These Related Problems?

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