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Finding the Fourth Proportional to 461,495.12, 692,315.87 and 195,257.63

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Solution

The fourth proportional to 461,495.12, 692,315.87 and 195,257.63 is: 292,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,495.12 : 692,315.87 = 195,257.63 : x
  2. Step 2: Convert to fraction form
    461,495.12/692,315.87 = 195,257.63/x
  3. Step 3: Cross multiply
    461,495.12x = 692,315.87 × 195,257.63
  4. Step 4: Simplify right side
    461,495.12x = 135,179,951,549.72
  5. Step 5: Solve for x
    x = 135,179,951,549.72/461,495.12
  6. Step 6: Final answer
    x = 292,917.41

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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.