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Finding the Fourth Proportional to 431,967.80, 647,951.70 and 274,309.40

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Solution

The fourth proportional to 431,967.80, 647,951.70 and 274,309.40 is: 411,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,967.80 : 647,951.70 = 274,309.40 : x
  2. Step 2: Convert to fraction form
    431,967.80/647,951.70 = 274,309.40/x
  3. Step 3: Cross multiply
    431,967.80x = 647,951.70 × 274,309.40
  4. Step 4: Simplify right side
    431,967.80x = 177,739,242,055.98
  5. Step 5: Solve for x
    x = 177,739,242,055.98/431,967.80
  6. Step 6: Final answer
    x = 411,464.10

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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.