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Finding the Fourth Proportional to 301,020.75, 415,473.44 and 180,189

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Solution

The fourth proportional to 301,020.75, 415,473.44 and 180,189 is: 248,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,020.75 : 415,473.44 = 180,189 : x
  2. Step 2: Convert to fraction form
    301,020.75/415,473.44 = 180,189/x
  3. Step 3: Cross multiply
    301,020.75x = 415,473.44 × 180,189
  4. Step 4: Simplify right side
    301,020.75x = 74,863,742,779.22
  5. Step 5: Solve for x
    x = 74,863,742,779.22/301,020.75
  6. Step 6: Final answer
    x = 248,699.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.