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Finding the Fourth Proportional to 419,990.40, 629,985.60 and 413,078.40

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Solution

The fourth proportional to 419,990.40, 629,985.60 and 413,078.40 is: 619,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,990.40 : 629,985.60 = 413,078.40 : x
  2. Step 2: Convert to fraction form
    419,990.40/629,985.60 = 413,078.40/x
  3. Step 3: Cross multiply
    419,990.40x = 629,985.60 × 413,078.40
  4. Step 4: Simplify right side
    419,990.40x = 260,233,443,671.04
  5. Step 5: Solve for x
    x = 260,233,443,671.04/419,990.40
  6. Step 6: Final answer
    x = 619,617.60

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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.