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Finding the Fourth Proportional to 467,282.94, 700,914.33 and 130,314.60

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Solution

The fourth proportional to 467,282.94, 700,914.33 and 130,314.60 is: 195,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,282.94 : 700,914.33 = 130,314.60 : x
  2. Step 2: Convert to fraction form
    467,282.94/700,914.33 = 130,314.60/x
  3. Step 3: Cross multiply
    467,282.94x = 700,914.33 × 130,314.60
  4. Step 4: Simplify right side
    467,282.94x = 91,339,370,548.22
  5. Step 5: Solve for x
    x = 91,339,370,548.22/467,282.94
  6. Step 6: Final answer
    x = 195,469.09

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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.