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Finding the Fourth Proportional to 296,738.64, 409,485.96 and 162,599.76

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Solution

The fourth proportional to 296,738.64, 409,485.96 and 162,599.76 is: 224,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,738.64 : 409,485.96 = 162,599.76 : x
  2. Step 2: Convert to fraction form
    296,738.64/409,485.96 = 162,599.76/x
  3. Step 3: Cross multiply
    296,738.64x = 409,485.96 × 162,599.76
  4. Step 4: Simplify right side
    296,738.64x = 66,582,318,819.37
  5. Step 5: Solve for x
    x = 66,582,318,819.37/296,738.64
  6. Step 6: Final answer
    x = 224,380.35

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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.