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Finding the Fourth Proportional to 315,283.24, 435,564.76 and 206,645.36

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Solution

The fourth proportional to 315,283.24, 435,564.76 and 206,645.36 is: 285,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,283.24 : 435,564.76 = 206,645.36 : x
  2. Step 2: Convert to fraction form
    315,283.24/435,564.76 = 206,645.36/x
  3. Step 3: Cross multiply
    315,283.24x = 435,564.76 × 206,645.36
  4. Step 4: Simplify right side
    315,283.24x = 90,007,436,633.51
  5. Step 5: Solve for x
    x = 90,007,436,633.51/315,283.24
  6. Step 6: Final answer
    x = 285,481.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.