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Finding the Fourth Proportional to 460,178.80, 689,857.80 and 179,630.80

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Solution

The fourth proportional to 460,178.80, 689,857.80 and 179,630.80 is: 269,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,178.80 : 689,857.80 = 179,630.80 : x
  2. Step 2: Convert to fraction form
    460,178.80/689,857.80 = 179,630.80/x
  3. Step 3: Cross multiply
    460,178.80x = 689,857.80 × 179,630.80
  4. Step 4: Simplify right side
    460,178.80x = 123,919,708,500.24
  5. Step 5: Solve for x
    x = 123,919,708,500.24/460,178.80
  6. Step 6: Final answer
    x = 269,286.00

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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.