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Finding the Fourth Proportional to 320,980.86, 442,901.43 and 185,020.38

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Solution

The fourth proportional to 320,980.86, 442,901.43 and 185,020.38 is: 255,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,980.86 : 442,901.43 = 185,020.38 : x
  2. Step 2: Convert to fraction form
    320,980.86/442,901.43 = 185,020.38/x
  3. Step 3: Cross multiply
    320,980.86x = 442,901.43 × 185,020.38
  4. Step 4: Simplify right side
    320,980.86x = 81,945,790,881.14
  5. Step 5: Solve for x
    x = 81,945,790,881.14/320,980.86
  6. Step 6: Final answer
    x = 255,298.06

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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.