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Finding the Fourth Proportional to 419,328.96, 628,468.38 and 330,230.58

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Solution

The fourth proportional to 419,328.96, 628,468.38 and 330,230.58 is: 494,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,328.96 : 628,468.38 = 330,230.58 : x
  2. Step 2: Convert to fraction form
    419,328.96/628,468.38 = 330,230.58/x
  3. Step 3: Cross multiply
    419,328.96x = 628,468.38 × 330,230.58
  4. Step 4: Simplify right side
    419,328.96x = 207,539,477,639.06
  5. Step 5: Solve for x
    x = 207,539,477,639.06/419,328.96
  6. Step 6: Final answer
    x = 494,932.37

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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.