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Finding the Fourth Proportional to 329,114.40, 493,687.80 and 171,650.40

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Solution

The fourth proportional to 329,114.40, 493,687.80 and 171,650.40 is: 257,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,114.40 : 493,687.80 = 171,650.40 : x
  2. Step 2: Convert to fraction form
    329,114.40/493,687.80 = 171,650.40/x
  3. Step 3: Cross multiply
    329,114.40x = 493,687.80 × 171,650.40
  4. Step 4: Simplify right side
    329,114.40x = 84,741,708,345.12
  5. Step 5: Solve for x
    x = 84,741,708,345.12/329,114.40
  6. Step 6: Final answer
    x = 257,484.05

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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.