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Finding the Fourth Proportional to 471,423.69, 706,310.42 and 321,176.25

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Solution

The fourth proportional to 471,423.69, 706,310.42 and 321,176.25 is: 481,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,423.69 : 706,310.42 = 321,176.25 : x
  2. Step 2: Convert to fraction form
    471,423.69/706,310.42 = 321,176.25/x
  3. Step 3: Cross multiply
    471,423.69x = 706,310.42 × 321,176.25
  4. Step 4: Simplify right side
    471,423.69x = 226,850,130,425.64
  5. Step 5: Solve for x
    x = 226,850,130,425.64/471,423.69
  6. Step 6: Final answer
    x = 481,202.23

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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.