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Finding the Fourth Proportional to 461,080.88, 691,454.96 and 194,862

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Solution

The fourth proportional to 461,080.88, 691,454.96 and 194,862 is: 292,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,080.88 : 691,454.96 = 194,862 : x
  2. Step 2: Convert to fraction form
    461,080.88/691,454.96 = 194,862/x
  3. Step 3: Cross multiply
    461,080.88x = 691,454.96 × 194,862
  4. Step 4: Simplify right side
    461,080.88x = 134,738,296,415.52
  5. Step 5: Solve for x
    x = 134,738,296,415.52/461,080.88
  6. Step 6: Final answer
    x = 292,222.69

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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.