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Finding the Fourth Proportional to 568,161.64, 852,214.78 and 213,148

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Solution

The fourth proportional to 568,161.64, 852,214.78 and 213,148 is: 319,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,161.64 : 852,214.78 = 213,148 : x
  2. Step 2: Convert to fraction form
    568,161.64/852,214.78 = 213,148/x
  3. Step 3: Cross multiply
    568,161.64x = 852,214.78 × 213,148
  4. Step 4: Simplify right side
    568,161.64x = 181,647,875,927.44
  5. Step 5: Solve for x
    x = 181,647,875,927.44/568,161.64
  6. Step 6: Final answer
    x = 319,711.62

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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.