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Finding the Fourth Proportional to 471,743.44, 708,107.64 and 415,946.32

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Solution

The fourth proportional to 471,743.44, 708,107.64 and 415,946.32 is: 624,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,743.44 : 708,107.64 = 415,946.32 : x
  2. Step 2: Convert to fraction form
    471,743.44/708,107.64 = 415,946.32/x
  3. Step 3: Cross multiply
    471,743.44x = 708,107.64 × 415,946.32
  4. Step 4: Simplify right side
    471,743.44x = 294,534,767,021.89
  5. Step 5: Solve for x
    x = 294,534,767,021.89/471,743.44
  6. Step 6: Final answer
    x = 624,353.71

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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.