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Finding the Fourth Proportional to 294,084, 440,976.96 and 125,578.08

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Solution

The fourth proportional to 294,084, 440,976.96 and 125,578.08 is: 188,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,084 : 440,976.96 = 125,578.08 : x
  2. Step 2: Convert to fraction form
    294,084/440,976.96 = 125,578.08/x
  3. Step 3: Cross multiply
    294,084x = 440,976.96 × 125,578.08
  4. Step 4: Simplify right side
    294,084x = 55,377,039,961.04
  5. Step 5: Solve for x
    x = 55,377,039,961.04/294,084
  6. Step 6: Final answer
    x = 188,303.48

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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.