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Finding the Fourth Proportional to 320,852.76, 442,583.10 and 206,092.77

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Solution

The fourth proportional to 320,852.76, 442,583.10 and 206,092.77 is: 284,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,852.76 : 442,583.10 = 206,092.77 : x
  2. Step 2: Convert to fraction form
    320,852.76/442,583.10 = 206,092.77/x
  3. Step 3: Cross multiply
    320,852.76x = 442,583.10 × 206,092.77
  4. Step 4: Simplify right side
    320,852.76x = 91,213,177,034.19
  5. Step 5: Solve for x
    x = 91,213,177,034.19/320,852.76
  6. Step 6: Final answer
    x = 284,283.60

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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.