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Finding the Fourth Proportional to 289,908.94, 400,118.08 and 176,797.30

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Solution

The fourth proportional to 289,908.94, 400,118.08 and 176,797.30 is: 244,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,908.94 : 400,118.08 = 176,797.30 : x
  2. Step 2: Convert to fraction form
    289,908.94/400,118.08 = 176,797.30/x
  3. Step 3: Cross multiply
    289,908.94x = 400,118.08 × 176,797.30
  4. Step 4: Simplify right side
    289,908.94x = 70,739,794,782.90
  5. Step 5: Solve for x
    x = 70,739,794,782.90/289,908.94
  6. Step 6: Final answer
    x = 244,006.95

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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.