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Finding the Fourth Proportional to 431,427.70, 647,335.95 and 206,701.30

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Solution

The fourth proportional to 431,427.70, 647,335.95 and 206,701.30 is: 310,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,427.70 : 647,335.95 = 206,701.30 : x
  2. Step 2: Convert to fraction form
    431,427.70/647,335.95 = 206,701.30/x
  3. Step 3: Cross multiply
    431,427.70x = 647,335.95 × 206,701.30
  4. Step 4: Simplify right side
    431,427.70x = 133,805,182,401.74
  5. Step 5: Solve for x
    x = 133,805,182,401.74/431,427.70
  6. Step 6: Final answer
    x = 310,145.09

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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.