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Finding the Fourth Proportional to 471,741.44, 708,104.64 and 415,944.32

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Solution

The fourth proportional to 471,741.44, 708,104.64 and 415,944.32 is: 624,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,741.44 : 708,104.64 = 415,944.32 : x
  2. Step 2: Convert to fraction form
    471,741.44/708,104.64 = 415,944.32/x
  3. Step 3: Cross multiply
    471,741.44x = 708,104.64 × 415,944.32
  4. Step 4: Simplify right side
    471,741.44x = 294,532,102,973.65
  5. Step 5: Solve for x
    x = 294,532,102,973.65/471,741.44
  6. Step 6: Final answer
    x = 624,350.71

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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.