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Finding the Fourth Proportional to 389,198.86, 537,094.11 and 210,350.86

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Solution

The fourth proportional to 389,198.86, 537,094.11 and 210,350.86 is: 290,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,198.86 : 537,094.11 = 210,350.86 : x
  2. Step 2: Convert to fraction form
    389,198.86/537,094.11 = 210,350.86/x
  3. Step 3: Cross multiply
    389,198.86x = 537,094.11 × 210,350.86
  4. Step 4: Simplify right side
    389,198.86x = 112,978,207,939.44
  5. Step 5: Solve for x
    x = 112,978,207,939.44/389,198.86
  6. Step 6: Final answer
    x = 290,284.02

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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.