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Finding the Fourth Proportional to 256,043.49, 353,506.44 and 229,139.74

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Solution

The fourth proportional to 256,043.49, 353,506.44 and 229,139.74 is: 316,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,043.49 : 353,506.44 = 229,139.74 : x
  2. Step 2: Convert to fraction form
    256,043.49/353,506.44 = 229,139.74/x
  3. Step 3: Cross multiply
    256,043.49x = 353,506.44 × 229,139.74
  4. Step 4: Simplify right side
    256,043.49x = 81,002,373,749.93
  5. Step 5: Solve for x
    x = 81,002,373,749.93/256,043.49
  6. Step 6: Final answer
    x = 316,361.78

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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.