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Finding the Fourth Proportional to 329,165.40, 493,764.30 and 171,701.40

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Solution

The fourth proportional to 329,165.40, 493,764.30 and 171,701.40 is: 257,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,165.40 : 493,764.30 = 171,701.40 : x
  2. Step 2: Convert to fraction form
    329,165.40/493,764.30 = 171,701.40/x
  3. Step 3: Cross multiply
    329,165.40x = 493,764.30 × 171,701.40
  4. Step 4: Simplify right side
    329,165.40x = 84,780,021,580.02
  5. Step 5: Solve for x
    x = 84,780,021,580.02/329,165.40
  6. Step 6: Final answer
    x = 257,560.55

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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.