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Finding the Fourth Proportional to 651,733.40, 978,474.90 and 416,120.60

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Solution

The fourth proportional to 651,733.40, 978,474.90 and 416,120.60 is: 624,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,733.40 : 978,474.90 = 416,120.60 : x
  2. Step 2: Convert to fraction form
    651,733.40/978,474.90 = 416,120.60/x
  3. Step 3: Cross multiply
    651,733.40x = 978,474.90 × 416,120.60
  4. Step 4: Simplify right side
    651,733.40x = 407,163,562,472.94
  5. Step 5: Solve for x
    x = 407,163,562,472.94/651,733.40
  6. Step 6: Final answer
    x = 624,739.44

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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.