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Finding the Fourth Proportional to 288,702.23, 398,374.29 and 159,623.24

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Solution

The fourth proportional to 288,702.23, 398,374.29 and 159,623.24 is: 220,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702.23 : 398,374.29 = 159,623.24 : x
  2. Step 2: Convert to fraction form
    288,702.23/398,374.29 = 159,623.24/x
  3. Step 3: Cross multiply
    288,702.23x = 398,374.29 × 159,623.24
  4. Step 4: Simplify right side
    288,702.23x = 63,589,792,910.63
  5. Step 5: Solve for x
    x = 63,589,792,910.63/288,702.23
  6. Step 6: Final answer
    x = 220,260.83

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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.