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Finding the Fourth Proportional to 419,029.60, 628,544.40 and 301,806.40

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Solution

The fourth proportional to 419,029.60, 628,544.40 and 301,806.40 is: 452,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,029.60 : 628,544.40 = 301,806.40 : x
  2. Step 2: Convert to fraction form
    419,029.60/628,544.40 = 301,806.40/x
  3. Step 3: Cross multiply
    419,029.60x = 628,544.40 × 301,806.40
  4. Step 4: Simplify right side
    419,029.60x = 189,698,722,604.16
  5. Step 5: Solve for x
    x = 189,698,722,604.16/419,029.60
  6. Step 6: Final answer
    x = 452,709.60

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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.