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Finding the Fourth Proportional to 471,698.37, 707,376.24 and 205,394.67

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Solution

The fourth proportional to 471,698.37, 707,376.24 and 205,394.67 is: 308,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,698.37 : 707,376.24 = 205,394.67 : x
  2. Step 2: Convert to fraction form
    471,698.37/707,376.24 = 205,394.67/x
  3. Step 3: Cross multiply
    471,698.37x = 707,376.24 × 205,394.67
  4. Step 4: Simplify right side
    471,698.37x = 145,291,309,380.64
  5. Step 5: Solve for x
    x = 145,291,309,380.64/471,698.37
  6. Step 6: Final answer
    x = 308,017.41

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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.