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Finding the Fourth Proportional to 331,129.04, 456,958 and 180,227.12

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Solution

The fourth proportional to 331,129.04, 456,958 and 180,227.12 is: 248,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,129.04 : 456,958 = 180,227.12 : x
  2. Step 2: Convert to fraction form
    331,129.04/456,958 = 180,227.12/x
  3. Step 3: Cross multiply
    331,129.04x = 456,958 × 180,227.12
  4. Step 4: Simplify right side
    331,129.04x = 82,356,224,300.96
  5. Step 5: Solve for x
    x = 82,356,224,300.96/331,129.04
  6. Step 6: Final answer
    x = 248,713.38

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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.