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Finding the Fourth Proportional to 367,798.51, 507,575.12 and 206,650.43

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Solution

The fourth proportional to 367,798.51, 507,575.12 and 206,650.43 is: 285,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,798.51 : 507,575.12 = 206,650.43 : x
  2. Step 2: Convert to fraction form
    367,798.51/507,575.12 = 206,650.43/x
  3. Step 3: Cross multiply
    367,798.51x = 507,575.12 × 206,650.43
  4. Step 4: Simplify right side
    367,798.51x = 104,890,616,805.30
  5. Step 5: Solve for x
    x = 104,890,616,805.30/367,798.51
  6. Step 6: Final answer
    x = 285,185.00

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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.