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Finding the Fourth Proportional to 419,824.40, 629,736.60 and 402,328.40

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Solution

The fourth proportional to 419,824.40, 629,736.60 and 402,328.40 is: 603,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,824.40 : 629,736.60 = 402,328.40 : x
  2. Step 2: Convert to fraction form
    419,824.40/629,736.60 = 402,328.40/x
  3. Step 3: Cross multiply
    419,824.40x = 629,736.60 × 402,328.40
  4. Step 4: Simplify right side
    419,824.40x = 253,360,918,699.44
  5. Step 5: Solve for x
    x = 253,360,918,699.44/419,824.40
  6. Step 6: Final answer
    x = 603,492.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.