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Finding the Fourth Proportional to 471,163.20, 707,090.40 and 313,339.20

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Solution

The fourth proportional to 471,163.20, 707,090.40 and 313,339.20 is: 470,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,163.20 : 707,090.40 = 313,339.20 : x
  2. Step 2: Convert to fraction form
    471,163.20/707,090.40 = 313,339.20/x
  3. Step 3: Cross multiply
    471,163.20x = 707,090.40 × 313,339.20
  4. Step 4: Simplify right side
    471,163.20x = 221,559,140,263.68
  5. Step 5: Solve for x
    x = 221,559,140,263.68/471,163.20
  6. Step 6: Final answer
    x = 470,238.64

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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.