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Finding the Fourth Proportional to 300,427.68, 414,148.50 and 228,682.74

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Solution

The fourth proportional to 300,427.68, 414,148.50 and 228,682.74 is: 315,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,427.68 : 414,148.50 = 228,682.74 : x
  2. Step 2: Convert to fraction form
    300,427.68/414,148.50 = 228,682.74/x
  3. Step 3: Cross multiply
    300,427.68x = 414,148.50 × 228,682.74
  4. Step 4: Simplify right side
    300,427.68x = 94,708,613,746.89
  5. Step 5: Solve for x
    x = 94,708,613,746.89/300,427.68
  6. Step 6: Final answer
    x = 315,245.96

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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.