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Finding the Fourth Proportional to 290,059.96, 399,536.94 and 205,030.84

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Solution

The fourth proportional to 290,059.96, 399,536.94 and 205,030.84 is: 282,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,059.96 : 399,536.94 = 205,030.84 : x
  2. Step 2: Convert to fraction form
    290,059.96/399,536.94 = 205,030.84/x
  3. Step 3: Cross multiply
    290,059.96x = 399,536.94 × 205,030.84
  4. Step 4: Simplify right side
    290,059.96x = 81,917,394,419.23
  5. Step 5: Solve for x
    x = 81,917,394,419.23/290,059.96
  6. Step 6: Final answer
    x = 282,415.38

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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.