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Finding the Fourth Proportional to 4,766,408.40, 7,149,612.60 and 4,294,016.40

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Solution

The fourth proportional to 4,766,408.40, 7,149,612.60 and 4,294,016.40 is: 6,441,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766,408.40 : 7,149,612.60 = 4,294,016.40 : x
  2. Step 2: Convert to fraction form
    4,766,408.40/7,149,612.60 = 4,294,016.40/x
  3. Step 3: Cross multiply
    4,766,408.40x = 7,149,612.60 × 4,294,016.40
  4. Step 4: Simplify right side
    4,766,408.40x = 30,700,553,758,046.64
  5. Step 5: Solve for x
    x = 30,700,553,758,046.64/4,766,408.40
  6. Step 6: Final answer
    x = 6,441,024.60

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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.