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Finding the Fourth Proportional to 557,408.99, 769,234.55 and 315,741.74

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Solution

The fourth proportional to 557,408.99, 769,234.55 and 315,741.74 is: 435,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,408.99 : 769,234.55 = 315,741.74 : x
  2. Step 2: Convert to fraction form
    557,408.99/769,234.55 = 315,741.74/x
  3. Step 3: Cross multiply
    557,408.99x = 769,234.55 × 315,741.74
  4. Step 4: Simplify right side
    557,408.99x = 242,879,453,706.41
  5. Step 5: Solve for x
    x = 242,879,453,706.41/557,408.99
  6. Step 6: Final answer
    x = 435,729.34

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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.