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Finding the Fourth Proportional to 331,034, 456,826.92 and 180,132.08

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Solution

The fourth proportional to 331,034, 456,826.92 and 180,132.08 is: 248,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,034 : 456,826.92 = 180,132.08 : x
  2. Step 2: Convert to fraction form
    331,034/456,826.92 = 180,132.08/x
  3. Step 3: Cross multiply
    331,034x = 456,826.92 × 180,132.08
  4. Step 4: Simplify right side
    331,034x = 82,289,183,299.59
  5. Step 5: Solve for x
    x = 82,289,183,299.59/331,034
  6. Step 6: Final answer
    x = 248,582.27

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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.