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Finding the Fourth Proportional to 376,609.50, 519,594.66 and 213,243.72

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Solution

The fourth proportional to 376,609.50, 519,594.66 and 213,243.72 is: 294,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,609.50 : 519,594.66 = 213,243.72 : x
  2. Step 2: Convert to fraction form
    376,609.50/519,594.66 = 213,243.72/x
  3. Step 3: Cross multiply
    376,609.50x = 519,594.66 × 213,243.72
  4. Step 4: Simplify right side
    376,609.50x = 110,800,298,190.54
  5. Step 5: Solve for x
    x = 110,800,298,190.54/376,609.50
  6. Step 6: Final answer
    x = 294,204.74

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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.