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Finding the Fourth Proportional to 471,740.44, 708,103.14 and 415,943.32

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Solution

The fourth proportional to 471,740.44, 708,103.14 and 415,943.32 is: 624,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,740.44 : 708,103.14 = 415,943.32 : x
  2. Step 2: Convert to fraction form
    471,740.44/708,103.14 = 415,943.32/x
  3. Step 3: Cross multiply
    471,740.44x = 708,103.14 × 415,943.32
  4. Step 4: Simplify right side
    471,740.44x = 294,530,770,954.03
  5. Step 5: Solve for x
    x = 294,530,770,954.03/471,740.44
  6. Step 6: Final answer
    x = 624,349.21

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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.