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Finding the Fourth Proportional to 431,666.40, 647,305.20 and 194,887.20

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Solution

The fourth proportional to 431,666.40, 647,305.20 and 194,887.20 is: 292,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,666.40 : 647,305.20 = 194,887.20 : x
  2. Step 2: Convert to fraction form
    431,666.40/647,305.20 = 194,887.20/x
  3. Step 3: Cross multiply
    431,666.40x = 647,305.20 × 194,887.20
  4. Step 4: Simplify right side
    431,666.40x = 126,151,497,973.44
  5. Step 5: Solve for x
    x = 126,151,497,973.44/431,666.40
  6. Step 6: Final answer
    x = 292,243.03

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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.