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Finding the Fourth Proportional to 590,806.94, 815,309.43 and 322,534.94

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Solution

The fourth proportional to 590,806.94, 815,309.43 and 322,534.94 is: 445,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,806.94 : 815,309.43 = 322,534.94 : x
  2. Step 2: Convert to fraction form
    590,806.94/815,309.43 = 322,534.94/x
  3. Step 3: Cross multiply
    590,806.94x = 815,309.43 × 322,534.94
  4. Step 4: Simplify right side
    590,806.94x = 262,965,778,086.48
  5. Step 5: Solve for x
    x = 262,965,778,086.48/590,806.94
  6. Step 6: Final answer
    x = 445,095.95

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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.