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Finding the Fourth Proportional to 304,182.92, 456,338.62 and 114,639.27

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Solution

The fourth proportional to 304,182.92, 456,338.62 and 114,639.27 is: 171,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,182.92 : 456,338.62 = 114,639.27 : x
  2. Step 2: Convert to fraction form
    304,182.92/456,338.62 = 114,639.27/x
  3. Step 3: Cross multiply
    304,182.92x = 456,338.62 × 114,639.27
  4. Step 4: Simplify right side
    304,182.92x = 52,314,325,983.01
  5. Step 5: Solve for x
    x = 52,314,325,983.01/304,182.92
  6. Step 6: Final answer
    x = 171,983.12

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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.