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Finding the Fourth Proportional to 307,067.05, 460,743.23 and 117,464.74

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Solution

The fourth proportional to 307,067.05, 460,743.23 and 117,464.74 is: 176,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,067.05 : 460,743.23 = 117,464.74 : x
  2. Step 2: Convert to fraction form
    307,067.05/460,743.23 = 117,464.74/x
  3. Step 3: Cross multiply
    307,067.05x = 460,743.23 × 117,464.74
  4. Step 4: Simplify right side
    307,067.05x = 54,121,082,860.51
  5. Step 5: Solve for x
    x = 54,121,082,860.51/307,067.05
  6. Step 6: Final answer
    x = 176,251.68

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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.