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Finding the Fourth Proportional to 471,706.80, 706,523.40 and 284,391.60

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Solution

The fourth proportional to 471,706.80, 706,523.40 and 284,391.60 is: 425,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,706.80 : 706,523.40 = 284,391.60 : x
  2. Step 2: Convert to fraction form
    471,706.80/706,523.40 = 284,391.60/x
  3. Step 3: Cross multiply
    471,706.80x = 706,523.40 × 284,391.60
  4. Step 4: Simplify right side
    471,706.80x = 200,929,320,163.44
  5. Step 5: Solve for x
    x = 200,929,320,163.44/471,706.80
  6. Step 6: Final answer
    x = 425,962.31

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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.