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Finding the Fourth Proportional to 419,466.60, 629,199.90 and 302,243.40

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Solution

The fourth proportional to 419,466.60, 629,199.90 and 302,243.40 is: 453,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,466.60 : 629,199.90 = 302,243.40 : x
  2. Step 2: Convert to fraction form
    419,466.60/629,199.90 = 302,243.40/x
  3. Step 3: Cross multiply
    419,466.60x = 629,199.90 × 302,243.40
  4. Step 4: Simplify right side
    419,466.60x = 190,171,517,055.66
  5. Step 5: Solve for x
    x = 190,171,517,055.66/419,466.60
  6. Step 6: Final answer
    x = 453,365.10

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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.