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Finding the Fourth Proportional to 367,976.42, 507,821.86 and 206,830.98

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Solution

The fourth proportional to 367,976.42, 507,821.86 and 206,830.98 is: 285,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,976.42 : 507,821.86 = 206,830.98 : x
  2. Step 2: Convert to fraction form
    367,976.42/507,821.86 = 206,830.98/x
  3. Step 3: Cross multiply
    367,976.42x = 507,821.86 × 206,830.98
  4. Step 4: Simplify right side
    367,976.42x = 105,033,292,969.22
  5. Step 5: Solve for x
    x = 105,033,292,969.22/367,976.42
  6. Step 6: Final answer
    x = 285,434.85

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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.