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Finding the Fourth Proportional to 329,123.40, 493,701.30 and 171,659.40

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Solution

The fourth proportional to 329,123.40, 493,701.30 and 171,659.40 is: 257,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,123.40 : 493,701.30 = 171,659.40 : x
  2. Step 2: Convert to fraction form
    329,123.40/493,701.30 = 171,659.40/x
  3. Step 3: Cross multiply
    329,123.40x = 493,701.30 × 171,659.40
  4. Step 4: Simplify right side
    329,123.40x = 84,748,468,937.22
  5. Step 5: Solve for x
    x = 84,748,468,937.22/329,123.40
  6. Step 6: Final answer
    x = 257,497.55

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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.