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Finding the Fourth Proportional to 410,383.09, 566,564.25 and 312,821.02

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Solution

The fourth proportional to 410,383.09, 566,564.25 and 312,821.02 is: 431,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,383.09 : 566,564.25 = 312,821.02 : x
  2. Step 2: Convert to fraction form
    410,383.09/566,564.25 = 312,821.02/x
  3. Step 3: Cross multiply
    410,383.09x = 566,564.25 × 312,821.02
  4. Step 4: Simplify right side
    410,383.09x = 177,233,206,580.54
  5. Step 5: Solve for x
    x = 177,233,206,580.54/410,383.09
  6. Step 6: Final answer
    x = 431,872.59

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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.