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Finding the Fourth Proportional to 433,385.66, 650,198.10 and 180,784.88

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Solution

The fourth proportional to 433,385.66, 650,198.10 and 180,784.88 is: 271,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,385.66 : 650,198.10 = 180,784.88 : x
  2. Step 2: Convert to fraction form
    433,385.66/650,198.10 = 180,784.88/x
  3. Step 3: Cross multiply
    433,385.66x = 650,198.10 × 180,784.88
  4. Step 4: Simplify right side
    433,385.66x = 117,545,985,484.73
  5. Step 5: Solve for x
    x = 117,545,985,484.73/433,385.66
  6. Step 6: Final answer
    x = 271,227.21

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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.