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Finding the Fourth Proportional to 329,616.30, 493,769.34 and 160,643.88

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Solution

The fourth proportional to 329,616.30, 493,769.34 and 160,643.88 is: 240,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,616.30 : 493,769.34 = 160,643.88 : x
  2. Step 2: Convert to fraction form
    329,616.30/493,769.34 = 160,643.88/x
  3. Step 3: Cross multiply
    329,616.30x = 493,769.34 × 160,643.88
  4. Step 4: Simplify right side
    329,616.30x = 79,321,022,602.64
  5. Step 5: Solve for x
    x = 79,321,022,602.64/329,616.30
  6. Step 6: Final answer
    x = 240,646.54

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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.