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Finding the Fourth Proportional to 460,993.68, 691,080.12 and 180,706.32

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Solution

The fourth proportional to 460,993.68, 691,080.12 and 180,706.32 is: 270,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,993.68 : 691,080.12 = 180,706.32 : x
  2. Step 2: Convert to fraction form
    460,993.68/691,080.12 = 180,706.32/x
  3. Step 3: Cross multiply
    460,993.68x = 691,080.12 × 180,706.32
  4. Step 4: Simplify right side
    460,993.68x = 124,882,545,310.36
  5. Step 5: Solve for x
    x = 124,882,545,310.36/460,993.68
  6. Step 6: Final answer
    x = 270,898.61

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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.