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Finding the Fourth Proportional to 288,665.57, 398,342.34 and 159,596.53

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Solution

The fourth proportional to 288,665.57, 398,342.34 and 159,596.53 is: 220,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,665.57 : 398,342.34 = 159,596.53 : x
  2. Step 2: Convert to fraction form
    288,665.57/398,342.34 = 159,596.53/x
  3. Step 3: Cross multiply
    288,665.57x = 398,342.34 × 159,596.53
  4. Step 4: Simplify right side
    288,665.57x = 63,574,054,220.22
  5. Step 5: Solve for x
    x = 63,574,054,220.22/288,665.57
  6. Step 6: Final answer
    x = 220,234.28

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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.