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Finding the Fourth Proportional to 527,513.87, 727,969.85 and 285,796.46

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Solution

The fourth proportional to 527,513.87, 727,969.85 and 285,796.46 is: 394,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,513.87 : 727,969.85 = 285,796.46 : x
  2. Step 2: Convert to fraction form
    527,513.87/727,969.85 = 285,796.46/x
  3. Step 3: Cross multiply
    527,513.87x = 727,969.85 × 285,796.46
  4. Step 4: Simplify right side
    527,513.87x = 208,051,203,484.58
  5. Step 5: Solve for x
    x = 208,051,203,484.58/527,513.87
  6. Step 6: Final answer
    x = 394,399.49

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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.