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Finding the Fourth Proportional to 590,968.48, 815,538 and 322,696.48

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Solution

The fourth proportional to 590,968.48, 815,538 and 322,696.48 is: 445,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,968.48 : 815,538 = 322,696.48 : x
  2. Step 2: Convert to fraction form
    590,968.48/815,538 = 322,696.48/x
  3. Step 3: Cross multiply
    590,968.48x = 815,538 × 322,696.48
  4. Step 4: Simplify right side
    590,968.48x = 263,171,241,906.24
  5. Step 5: Solve for x
    x = 263,171,241,906.24/590,968.48
  6. Step 6: Final answer
    x = 445,321.96

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1.5x scale

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.