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Finding the Fourth Proportional to 296,282.72, 408,867.09 and 160,313.67

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Solution

The fourth proportional to 296,282.72, 408,867.09 and 160,313.67 is: 221,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,282.72 : 408,867.09 = 160,313.67 : x
  2. Step 2: Convert to fraction form
    296,282.72/408,867.09 = 160,313.67/x
  3. Step 3: Cross multiply
    296,282.72x = 408,867.09 × 160,313.67
  4. Step 4: Simplify right side
    296,282.72x = 65,546,983,138.94
  5. Step 5: Solve for x
    x = 65,546,983,138.94/296,282.72
  6. Step 6: Final answer
    x = 221,231.20

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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.