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Finding the Fourth Proportional to 431,466.32, 647,139 and 182,090

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Solution

The fourth proportional to 431,466.32, 647,139 and 182,090 is: 273,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,466.32 : 647,139 = 182,090 : x
  2. Step 2: Convert to fraction form
    431,466.32/647,139 = 182,090/x
  3. Step 3: Cross multiply
    431,466.32x = 647,139 × 182,090
  4. Step 4: Simplify right side
    431,466.32x = 117,837,540,510
  5. Step 5: Solve for x
    x = 117,837,540,510/431,466.32
  6. Step 6: Final answer
    x = 273,109.48

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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.