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Finding the Fourth Proportional to 296,028.56, 408,529.14 and 161,892.56

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Solution

The fourth proportional to 296,028.56, 408,529.14 and 161,892.56 is: 223,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,028.56 : 408,529.14 = 161,892.56 : x
  2. Step 2: Convert to fraction form
    296,028.56/408,529.14 = 161,892.56/x
  3. Step 3: Cross multiply
    296,028.56x = 408,529.14 × 161,892.56
  4. Step 4: Simplify right side
    296,028.56x = 66,137,828,723.42
  5. Step 5: Solve for x
    x = 66,137,828,723.42/296,028.56
  6. Step 6: Final answer
    x = 223,417.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.