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Finding the Fourth Proportional to 307,066.92, 460,743.05 and 117,464.61

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Solution

The fourth proportional to 307,066.92, 460,743.05 and 117,464.61 is: 176,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,066.92 : 460,743.05 = 117,464.61 : x
  2. Step 2: Convert to fraction form
    307,066.92/460,743.05 = 117,464.61/x
  3. Step 3: Cross multiply
    307,066.92x = 460,743.05 × 117,464.61
  4. Step 4: Simplify right side
    307,066.92x = 54,121,002,678.46
  5. Step 5: Solve for x
    x = 54,121,002,678.46/307,066.92
  6. Step 6: Final answer
    x = 176,251.49

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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.