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Finding the Fourth Proportional to 419,738.26, 579,167.86 and 235,952.34

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Solution

The fourth proportional to 419,738.26, 579,167.86 and 235,952.34 is: 325,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,738.26 : 579,167.86 = 235,952.34 : x
  2. Step 2: Convert to fraction form
    419,738.26/579,167.86 = 235,952.34/x
  3. Step 3: Cross multiply
    419,738.26x = 579,167.86 × 235,952.34
  4. Step 4: Simplify right side
    419,738.26x = 136,656,011,819.79
  5. Step 5: Solve for x
    x = 136,656,011,819.79/419,738.26
  6. Step 6: Final answer
    x = 325,574.35

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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.