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Finding the Fourth Proportional to 557,408.74, 769,234.20 and 315,741.49

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Solution

The fourth proportional to 557,408.74, 769,234.20 and 315,741.49 is: 435,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,408.74 : 769,234.20 = 315,741.49 : x
  2. Step 2: Convert to fraction form
    557,408.74/769,234.20 = 315,741.49/x
  3. Step 3: Cross multiply
    557,408.74x = 769,234.20 × 315,741.49
  4. Step 4: Simplify right side
    557,408.74x = 242,879,152,466.96
  5. Step 5: Solve for x
    x = 242,879,152,466.96/557,408.74
  6. Step 6: Final answer
    x = 435,729.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.