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Finding the Fourth Proportional to 296,466.92, 409,121.42 and 160,497.27

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Solution

The fourth proportional to 296,466.92, 409,121.42 and 160,497.27 is: 221,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,466.92 : 409,121.42 = 160,497.27 : x
  2. Step 2: Convert to fraction form
    296,466.92/409,121.42 = 160,497.27/x
  3. Step 3: Cross multiply
    296,466.92x = 409,121.42 × 160,497.27
  4. Step 4: Simplify right side
    296,466.92x = 65,662,870,206.04
  5. Step 5: Solve for x
    x = 65,662,870,206.04/296,466.92
  6. Step 6: Final answer
    x = 221,484.65

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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.