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Finding the Fourth Proportional to 446,952.26, 670,449.05 and 147,459.01

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Solution

The fourth proportional to 446,952.26, 670,449.05 and 147,459.01 is: 221,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,952.26 : 670,449.05 = 147,459.01 : x
  2. Step 2: Convert to fraction form
    446,952.26/670,449.05 = 147,459.01/x
  3. Step 3: Cross multiply
    446,952.26x = 670,449.05 × 147,459.01
  4. Step 4: Simplify right side
    446,952.26x = 98,863,753,168.44
  5. Step 5: Solve for x
    x = 98,863,753,168.44/446,952.26
  6. Step 6: Final answer
    x = 221,195.33

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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.