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Finding the Fourth Proportional to 431,588.70, 647,577.45 and 206,862.30

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Solution

The fourth proportional to 431,588.70, 647,577.45 and 206,862.30 is: 310,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,588.70 : 647,577.45 = 206,862.30 : x
  2. Step 2: Convert to fraction form
    431,588.70/647,577.45 = 206,862.30/x
  3. Step 3: Cross multiply
    431,588.70x = 647,577.45 × 206,862.30
  4. Step 4: Simplify right side
    431,588.70x = 133,959,360,735.14
  5. Step 5: Solve for x
    x = 133,959,360,735.14/431,588.70
  6. Step 6: Final answer
    x = 310,386.63

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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.