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Finding the Fourth Proportional to 329,048.20, 493,457.10 and 171,224.20

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Solution

The fourth proportional to 329,048.20, 493,457.10 and 171,224.20 is: 256,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,048.20 : 493,457.10 = 171,224.20 : x
  2. Step 2: Convert to fraction form
    329,048.20/493,457.10 = 171,224.20/x
  3. Step 3: Cross multiply
    329,048.20x = 493,457.10 × 171,224.20
  4. Step 4: Simplify right side
    329,048.20x = 84,491,797,181.82
  5. Step 5: Solve for x
    x = 84,491,797,181.82/329,048.20
  6. Step 6: Final answer
    x = 256,776.35

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1.5x scale

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.