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Finding the Fourth Proportional to 414,449.28, 621,085.44 and 189,256.32

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Solution

The fourth proportional to 414,449.28, 621,085.44 and 189,256.32 is: 283,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,449.28 : 621,085.44 = 189,256.32 : x
  2. Step 2: Convert to fraction form
    414,449.28/621,085.44 = 189,256.32/x
  3. Step 3: Cross multiply
    414,449.28x = 621,085.44 × 189,256.32
  4. Step 4: Simplify right side
    414,449.28x = 117,544,344,779.98
  5. Step 5: Solve for x
    x = 117,544,344,779.98/414,449.28
  6. Step 6: Final answer
    x = 283,615.75

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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.