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Finding the Fourth Proportional to 707,764, 1,062,102.74 and 258,447.26

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Solution

The fourth proportional to 707,764, 1,062,102.74 and 258,447.26 is: 387,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,764 : 1,062,102.74 = 258,447.26 : x
  2. Step 2: Convert to fraction form
    707,764/1,062,102.74 = 258,447.26/x
  3. Step 3: Cross multiply
    707,764x = 1,062,102.74 × 258,447.26
  4. Step 4: Simplify right side
    707,764x = 274,497,542,991.49
  5. Step 5: Solve for x
    x = 274,497,542,991.49/707,764
  6. Step 6: Final answer
    x = 387,837.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.