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Finding the Fourth Proportional to 431,391.40, 646,601.10 and 206,859.40

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Solution

The fourth proportional to 431,391.40, 646,601.10 and 206,859.40 is: 310,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,391.40 : 646,601.10 = 206,859.40 : x
  2. Step 2: Convert to fraction form
    431,391.40/646,601.10 = 206,859.40/x
  3. Step 3: Cross multiply
    431,391.40x = 646,601.10 × 206,859.40
  4. Step 4: Simplify right side
    431,391.40x = 133,755,515,585.34
  5. Step 5: Solve for x
    x = 133,755,515,585.34/431,391.40
  6. Step 6: Final answer
    x = 310,056.05

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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.