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Finding the Fourth Proportional to 419,165.89, 578,451.63 and 228,179.23

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Solution

The fourth proportional to 419,165.89, 578,451.63 and 228,179.23 is: 314,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,165.89 : 578,451.63 = 228,179.23 : x
  2. Step 2: Convert to fraction form
    419,165.89/578,451.63 = 228,179.23/x
  3. Step 3: Cross multiply
    419,165.89x = 578,451.63 × 228,179.23
  4. Step 4: Simplify right side
    419,165.89x = 131,990,647,525.65
  5. Step 5: Solve for x
    x = 131,990,647,525.65/419,165.89
  6. Step 6: Final answer
    x = 314,888.81

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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.