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Finding the Fourth Proportional to 306,986.88, 460,359.36 and 149,168.64

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Solution

The fourth proportional to 306,986.88, 460,359.36 and 149,168.64 is: 223,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,986.88 : 460,359.36 = 149,168.64 : x
  2. Step 2: Convert to fraction form
    306,986.88/460,359.36 = 149,168.64/x
  3. Step 3: Cross multiply
    306,986.88x = 460,359.36 × 149,168.64
  4. Step 4: Simplify right side
    306,986.88x = 68,671,179,642.47
  5. Step 5: Solve for x
    x = 68,671,179,642.47/306,986.88
  6. Step 6: Final answer
    x = 223,694.18

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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.