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Finding the Fourth Proportional to 417,891.25, 576,689.93 and 239,043.25

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Solution

The fourth proportional to 417,891.25, 576,689.93 and 239,043.25 is: 329,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,891.25 : 576,689.93 = 239,043.25 : x
  2. Step 2: Convert to fraction form
    417,891.25/576,689.93 = 239,043.25/x
  3. Step 3: Cross multiply
    417,891.25x = 576,689.93 × 239,043.25
  4. Step 4: Simplify right side
    417,891.25x = 137,853,833,914.26
  5. Step 5: Solve for x
    x = 137,853,833,914.26/417,891.25
  6. Step 6: Final answer
    x = 329,879.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.