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Finding the Fourth Proportional to 431,370.40, 647,049.52 and 194,712.70

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Solution

The fourth proportional to 431,370.40, 647,049.52 and 194,712.70 is: 292,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,370.40 : 647,049.52 = 194,712.70 : x
  2. Step 2: Convert to fraction form
    431,370.40/647,049.52 = 194,712.70/x
  3. Step 3: Cross multiply
    431,370.40x = 647,049.52 × 194,712.70
  4. Step 4: Simplify right side
    431,370.40x = 125,988,759,072.90
  5. Step 5: Solve for x
    x = 125,988,759,072.90/431,370.40
  6. Step 6: Final answer
    x = 292,066.31

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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.