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Finding the Fourth Proportional to 307,067.42, 460,743.80 and 117,465.12

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Solution

The fourth proportional to 307,067.42, 460,743.80 and 117,465.12 is: 176,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,067.42 : 460,743.80 = 117,465.12 : x
  2. Step 2: Convert to fraction form
    307,067.42/460,743.80 = 117,465.12/x
  3. Step 3: Cross multiply
    307,067.42x = 460,743.80 × 117,465.12
  4. Step 4: Simplify right side
    307,067.42x = 54,121,325,168.93
  5. Step 5: Solve for x
    x = 54,121,325,168.93/307,067.42
  6. Step 6: Final answer
    x = 176,252.26

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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.