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Finding the Fourth Proportional to 320,860.82, 442,812.52 and 183,042.78

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Solution

The fourth proportional to 320,860.82, 442,812.52 and 183,042.78 is: 252,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,860.82 : 442,812.52 = 183,042.78 : x
  2. Step 2: Convert to fraction form
    320,860.82/442,812.52 = 183,042.78/x
  3. Step 3: Cross multiply
    320,860.82x = 442,812.52 × 183,042.78
  4. Step 4: Simplify right side
    320,860.82x = 81,053,633,173.11
  5. Step 5: Solve for x
    x = 81,053,633,173.11/320,860.82
  6. Step 6: Final answer
    x = 252,613.06

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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.