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Finding the Fourth Proportional to 329,165.80, 493,748.70 and 163,277.80

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Solution

The fourth proportional to 329,165.80, 493,748.70 and 163,277.80 is: 244,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,165.80 : 493,748.70 = 163,277.80 : x
  2. Step 2: Convert to fraction form
    329,165.80/493,748.70 = 163,277.80/x
  3. Step 3: Cross multiply
    329,165.80x = 493,748.70 × 163,277.80
  4. Step 4: Simplify right side
    329,165.80x = 80,618,201,488.86
  5. Step 5: Solve for x
    x = 80,618,201,488.86/329,165.80
  6. Step 6: Final answer
    x = 244,916.70

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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.