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Finding the Fourth Proportional to 298,396.35, 411,792.20 and 162,434.20

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Solution

The fourth proportional to 298,396.35, 411,792.20 and 162,434.20 is: 224,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,396.35 : 411,792.20 = 162,434.20 : x
  2. Step 2: Convert to fraction form
    298,396.35/411,792.20 = 162,434.20/x
  3. Step 3: Cross multiply
    298,396.35x = 411,792.20 × 162,434.20
  4. Step 4: Simplify right side
    298,396.35x = 66,889,136,573.24
  5. Step 5: Solve for x
    x = 66,889,136,573.24/298,396.35
  6. Step 6: Final answer
    x = 224,162.05

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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.