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Finding the Fourth Proportional to 527,100.82, 727,399.56 and 285,383.56

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Solution

The fourth proportional to 527,100.82, 727,399.56 and 285,383.56 is: 393,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,100.82 : 727,399.56 = 285,383.56 : x
  2. Step 2: Convert to fraction form
    527,100.82/727,399.56 = 285,383.56/x
  3. Step 3: Cross multiply
    527,100.82x = 727,399.56 × 285,383.56
  4. Step 4: Simplify right side
    527,100.82x = 207,587,875,975.23
  5. Step 5: Solve for x
    x = 207,587,875,975.23/527,100.82
  6. Step 6: Final answer
    x = 393,829.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.