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Finding the Fourth Proportional to 296,498.16, 409,163.40 and 162,362.16

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Solution

The fourth proportional to 296,498.16, 409,163.40 and 162,362.16 is: 224,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,498.16 : 409,163.40 = 162,362.16 : x
  2. Step 2: Convert to fraction form
    296,498.16/409,163.40 = 162,362.16/x
  3. Step 3: Cross multiply
    296,498.16x = 409,163.40 × 162,362.16
  4. Step 4: Simplify right side
    296,498.16x = 66,432,653,416.94
  5. Step 5: Solve for x
    x = 66,432,653,416.94/296,498.16
  6. Step 6: Final answer
    x = 224,057.56

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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.