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Finding the Fourth Proportional to 590,409.04, 814,764 and 322,137.04

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Solution

The fourth proportional to 590,409.04, 814,764 and 322,137.04 is: 444,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,409.04 : 814,764 = 322,137.04 : x
  2. Step 2: Convert to fraction form
    590,409.04/814,764 = 322,137.04/x
  3. Step 3: Cross multiply
    590,409.04x = 814,764 × 322,137.04
  4. Step 4: Simplify right side
    590,409.04x = 262,465,663,258.56
  5. Step 5: Solve for x
    x = 262,465,663,258.56/590,409.04
  6. Step 6: Final answer
    x = 444,548.86

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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.