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Finding the Fourth Proportional to 376,111.81, 519,017.38 and 206,342.29

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Solution

The fourth proportional to 376,111.81, 519,017.38 and 206,342.29 is: 284,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,111.81 : 519,017.38 = 206,342.29 : x
  2. Step 2: Convert to fraction form
    376,111.81/519,017.38 = 206,342.29/x
  3. Step 3: Cross multiply
    376,111.81x = 519,017.38 × 206,342.29
  4. Step 4: Simplify right side
    376,111.81x = 107,095,234,739.00
  5. Step 5: Solve for x
    x = 107,095,234,739.00/376,111.81
  6. Step 6: Final answer
    x = 284,743.08

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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.