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Finding the Fourth Proportional to 307,743.52, 460,400.64 and 233,078.80

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Solution

The fourth proportional to 307,743.52, 460,400.64 and 233,078.80 is: 348,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,743.52 : 460,400.64 = 233,078.80 : x
  2. Step 2: Convert to fraction form
    307,743.52/460,400.64 = 233,078.80/x
  3. Step 3: Cross multiply
    307,743.52x = 460,400.64 × 233,078.80
  4. Step 4: Simplify right side
    307,743.52x = 107,309,628,690.43
  5. Step 5: Solve for x
    x = 107,309,628,690.43/307,743.52
  6. Step 6: Final answer
    x = 348,698.26

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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.