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Finding the Fourth Proportional to 354,541.80, 489,904.84 and 269,511.24

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Solution

The fourth proportional to 354,541.80, 489,904.84 and 269,511.24 is: 372,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,541.80 : 489,904.84 = 269,511.24 : x
  2. Step 2: Convert to fraction form
    354,541.80/489,904.84 = 269,511.24/x
  3. Step 3: Cross multiply
    354,541.80x = 489,904.84 × 269,511.24
  4. Step 4: Simplify right side
    354,541.80x = 132,034,860,910.40
  5. Step 5: Solve for x
    x = 132,034,860,910.40/354,541.80
  6. Step 6: Final answer
    x = 372,409.86

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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.