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Finding the Fourth Proportional to 431,730.48, 647,537.38 and 116,206.32

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Solution

The fourth proportional to 431,730.48, 647,537.38 and 116,206.32 is: 174,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,730.48 : 647,537.38 = 116,206.32 : x
  2. Step 2: Convert to fraction form
    431,730.48/647,537.38 = 116,206.32/x
  3. Step 3: Cross multiply
    431,730.48x = 647,537.38 × 116,206.32
  4. Step 4: Simplify right side
    431,730.48x = 75,247,935,992.24
  5. Step 5: Solve for x
    x = 75,247,935,992.24/431,730.48
  6. Step 6: Final answer
    x = 174,293.78

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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.