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Finding the Fourth Proportional to 298,668.42, 412,162.24 and 164,532.42

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Solution

The fourth proportional to 298,668.42, 412,162.24 and 164,532.42 is: 227,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,668.42 : 412,162.24 = 164,532.42 : x
  2. Step 2: Convert to fraction form
    298,668.42/412,162.24 = 164,532.42/x
  3. Step 3: Cross multiply
    298,668.42x = 412,162.24 × 164,532.42
  4. Step 4: Simplify right side
    298,668.42x = 67,814,050,779.82
  5. Step 5: Solve for x
    x = 67,814,050,779.82/298,668.42
  6. Step 6: Final answer
    x = 227,054.64

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