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Finding the Fourth Proportional to 527,369.63, 727,770.24 and 285,651.46

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Solution

The fourth proportional to 527,369.63, 727,770.24 and 285,651.46 is: 394,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,369.63 : 727,770.24 = 285,651.46 : x
  2. Step 2: Convert to fraction form
    527,369.63/727,770.24 = 285,651.46/x
  3. Step 3: Cross multiply
    527,369.63x = 727,770.24 × 285,651.46
  4. Step 4: Simplify right side
    527,369.63x = 207,888,626,533.44
  5. Step 5: Solve for x
    x = 207,888,626,533.44/527,369.63
  6. Step 6: Final answer
    x = 394,199.09

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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.