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Finding the Fourth Proportional to 393,289.23, 542,718.21 and 232,085.46

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Solution

The fourth proportional to 393,289.23, 542,718.21 and 232,085.46 is: 320,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,289.23 : 542,718.21 = 232,085.46 : x
  2. Step 2: Convert to fraction form
    393,289.23/542,718.21 = 232,085.46/x
  3. Step 3: Cross multiply
    393,289.23x = 542,718.21 × 232,085.46
  4. Step 4: Simplify right side
    393,289.23x = 125,957,005,418.23
  5. Step 5: Solve for x
    x = 125,957,005,418.23/393,289.23
  6. Step 6: Final answer
    x = 320,265.59

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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.