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Finding the Fourth Proportional to 329,096.71, 493,664.21 and 92,457.84

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Solution

The fourth proportional to 329,096.71, 493,664.21 and 92,457.84 is: 138,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,096.71 : 493,664.21 = 92,457.84 : x
  2. Step 2: Convert to fraction form
    329,096.71/493,664.21 = 92,457.84/x
  3. Step 3: Cross multiply
    329,096.71x = 493,664.21 × 92,457.84
  4. Step 4: Simplify right side
    329,096.71x = 45,643,127,313.78
  5. Step 5: Solve for x
    x = 45,643,127,313.78/329,096.71
  6. Step 6: Final answer
    x = 138,692.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.