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Finding the Fourth Proportional to 527,964.86, 728,605.86 and 298,556.47

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Solution

The fourth proportional to 527,964.86, 728,605.86 and 298,556.47 is: 412,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,964.86 : 728,605.86 = 298,556.47 : x
  2. Step 2: Convert to fraction form
    527,964.86/728,605.86 = 298,556.47/x
  3. Step 3: Cross multiply
    527,964.86x = 728,605.86 × 298,556.47
  4. Step 4: Simplify right side
    527,964.86x = 217,529,993,933.88
  5. Step 5: Solve for x
    x = 217,529,993,933.88/527,964.86
  6. Step 6: Final answer
    x = 412,016.04

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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.