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Finding the Fourth Proportional to 461,491.36, 692,310.24 and 195,253.88

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Solution

The fourth proportional to 461,491.36, 692,310.24 and 195,253.88 is: 292,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,491.36 : 692,310.24 = 195,253.88 : x
  2. Step 2: Convert to fraction form
    461,491.36/692,310.24 = 195,253.88/x
  3. Step 3: Cross multiply
    461,491.36x = 692,310.24 × 195,253.88
  4. Step 4: Simplify right side
    461,491.36x = 135,176,257,062.18
  5. Step 5: Solve for x
    x = 135,176,257,062.18/461,491.36
  6. Step 6: Final answer
    x = 292,911.78

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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.