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Finding the Fourth Proportional to 307,286.49, 460,924.26 and 117,695.46

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Solution

The fourth proportional to 307,286.49, 460,924.26 and 117,695.46 is: 176,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,286.49 : 460,924.26 = 117,695.46 : x
  2. Step 2: Convert to fraction form
    307,286.49/460,924.26 = 117,695.46/x
  3. Step 3: Cross multiply
    307,286.49x = 460,924.26 × 117,695.46
  4. Step 4: Simplify right side
    307,286.49x = 54,248,694,092.97
  5. Step 5: Solve for x
    x = 54,248,694,092.97/307,286.49
  6. Step 6: Final answer
    x = 176,541.10

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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.