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Finding the Fourth Proportional to 705,758.23, 973,949.96 and 383,469.15

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Solution

The fourth proportional to 705,758.23, 973,949.96 and 383,469.15 is: 529,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,758.23 : 973,949.96 = 383,469.15 : x
  2. Step 2: Convert to fraction form
    705,758.23/973,949.96 = 383,469.15/x
  3. Step 3: Cross multiply
    705,758.23x = 973,949.96 × 383,469.15
  4. Step 4: Simplify right side
    705,758.23x = 373,479,764,262.41
  5. Step 5: Solve for x
    x = 373,479,764,262.41/705,758.23
  6. Step 6: Final answer
    x = 529,189.39

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Why These Related Problems?

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