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Finding the Fourth Proportional to 325,276.10, 488,472.50 and 199,654

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Solution

The fourth proportional to 325,276.10, 488,472.50 and 199,654 is: 299,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,276.10 : 488,472.50 = 199,654 : x
  2. Step 2: Convert to fraction form
    325,276.10/488,472.50 = 199,654/x
  3. Step 3: Cross multiply
    325,276.10x = 488,472.50 × 199,654
  4. Step 4: Simplify right side
    325,276.10x = 97,525,488,515
  5. Step 5: Solve for x
    x = 97,525,488,515/325,276.10
  6. Step 6: Final answer
    x = 299,823.71

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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.