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Finding the Fourth Proportional to 296,421.16, 409,057.14 and 162,285.16

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Solution

The fourth proportional to 296,421.16, 409,057.14 and 162,285.16 is: 223,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,421.16 : 409,057.14 = 162,285.16 : x
  2. Step 2: Convert to fraction form
    296,421.16/409,057.14 = 162,285.16/x
  3. Step 3: Cross multiply
    296,421.16x = 409,057.14 × 162,285.16
  4. Step 4: Simplify right side
    296,421.16x = 66,383,903,414.04
  5. Step 5: Solve for x
    x = 66,383,903,414.04/296,421.16
  6. Step 6: Final answer
    x = 223,951.30

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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.