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Finding the Fourth Proportional to 568,185.72, 852,057.18 and 213,006

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Solution

The fourth proportional to 568,185.72, 852,057.18 and 213,006 is: 319,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,185.72 : 852,057.18 = 213,006 : x
  2. Step 2: Convert to fraction form
    568,185.72/852,057.18 = 213,006/x
  3. Step 3: Cross multiply
    568,185.72x = 852,057.18 × 213,006
  4. Step 4: Simplify right side
    568,185.72x = 181,493,291,683.08
  5. Step 5: Solve for x
    x = 181,493,291,683.08/568,185.72
  6. Step 6: Final answer
    x = 319,426.00

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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.