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Finding the Fourth Proportional to 568,193.78, 852,069.18 and 213,014

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Solution

The fourth proportional to 568,193.78, 852,069.18 and 213,014 is: 319,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,193.78 : 852,069.18 = 213,014 : x
  2. Step 2: Convert to fraction form
    568,193.78/852,069.18 = 213,014/x
  3. Step 3: Cross multiply
    568,193.78x = 852,069.18 × 213,014
  4. Step 4: Simplify right side
    568,193.78x = 181,502,664,308.52
  5. Step 5: Solve for x
    x = 181,502,664,308.52/568,193.78
  6. Step 6: Final answer
    x = 319,437.96

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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.