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Finding the Fourth Proportional to 472,022.82, 708,255.69 and 235,383.96

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Solution

The fourth proportional to 472,022.82, 708,255.69 and 235,383.96 is: 353,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,022.82 : 708,255.69 = 235,383.96 : x
  2. Step 2: Convert to fraction form
    472,022.82/708,255.69 = 235,383.96/x
  3. Step 3: Cross multiply
    472,022.82x = 708,255.69 × 235,383.96
  4. Step 4: Simplify right side
    472,022.82x = 166,712,029,004.73
  5. Step 5: Solve for x
    x = 166,712,029,004.73/472,022.82
  6. Step 6: Final answer
    x = 353,186.38

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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.