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Finding the Fourth Proportional to 419,738.25, 579,167.87 and 235,952.34

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Solution

The fourth proportional to 419,738.25, 579,167.87 and 235,952.34 is: 325,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,738.25 : 579,167.87 = 235,952.34 : x
  2. Step 2: Convert to fraction form
    419,738.25/579,167.87 = 235,952.34/x
  3. Step 3: Cross multiply
    419,738.25x = 579,167.87 × 235,952.34
  4. Step 4: Simplify right side
    419,738.25x = 136,656,014,179.32
  5. Step 5: Solve for x
    x = 136,656,014,179.32/419,738.25
  6. Step 6: Final answer
    x = 325,574.36

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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.