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Finding the Fourth Proportional to 419,450.08, 578,967.60 and 285,391.84

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Solution

The fourth proportional to 419,450.08, 578,967.60 and 285,391.84 is: 393,926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,450.08 : 578,967.60 = 285,391.84 : x
  2. Step 2: Convert to fraction form
    419,450.08/578,967.60 = 285,391.84/x
  3. Step 3: Cross multiply
    419,450.08x = 578,967.60 × 285,391.84
  4. Step 4: Simplify right side
    419,450.08x = 165,232,628,664.38
  5. Step 5: Solve for x
    x = 165,232,628,664.38/419,450.08
  6. Step 6: Final answer
    x = 393,926.80

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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.