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Finding the Fourth Proportional to 568,214.72, 852,100.80 and 213,034.88

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Solution

The fourth proportional to 568,214.72, 852,100.80 and 213,034.88 is: 319,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,214.72 : 852,100.80 = 213,034.88 : x
  2. Step 2: Convert to fraction form
    568,214.72/852,100.80 = 213,034.88/x
  3. Step 3: Cross multiply
    568,214.72x = 852,100.80 × 213,034.88
  4. Step 4: Simplify right side
    568,214.72x = 181,527,191,675.90
  5. Step 5: Solve for x
    x = 181,527,191,675.90/568,214.72
  6. Step 6: Final answer
    x = 319,469.36

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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.