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Finding the Fourth Proportional to 368,038.89, 507,891.26 and 206,895.26

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Solution

The fourth proportional to 368,038.89, 507,891.26 and 206,895.26 is: 285,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,038.89 : 507,891.26 = 206,895.26 : x
  2. Step 2: Convert to fraction form
    368,038.89/507,891.26 = 206,895.26/x
  3. Step 3: Cross multiply
    368,038.89x = 507,891.26 × 206,895.26
  4. Step 4: Simplify right side
    368,038.89x = 105,080,296,076.39
  5. Step 5: Solve for x
    x = 105,080,296,076.39/368,038.89
  6. Step 6: Final answer
    x = 285,514.11

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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.