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Finding the Fourth Proportional to 296,769.12, 409,539.96 and 162,633.12

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Solution

The fourth proportional to 296,769.12, 409,539.96 and 162,633.12 is: 224,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,769.12 : 409,539.96 = 162,633.12 : x
  2. Step 2: Convert to fraction form
    296,769.12/409,539.96 = 162,633.12/x
  3. Step 3: Cross multiply
    296,769.12x = 409,539.96 × 162,633.12
  4. Step 4: Simplify right side
    296,769.12x = 66,604,761,459.48
  5. Step 5: Solve for x
    x = 66,604,761,459.48/296,769.12
  6. Step 6: Final answer
    x = 224,432.92

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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.