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Finding the Fourth Proportional to 527,103.20, 727,393.55 and 285,383.82

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Solution

The fourth proportional to 527,103.20, 727,393.55 and 285,383.82 is: 393,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,103.20 : 727,393.55 = 285,383.82 : x
  2. Step 2: Convert to fraction form
    527,103.20/727,393.55 = 285,383.82/x
  3. Step 3: Cross multiply
    527,103.20x = 727,393.55 × 285,383.82
  4. Step 4: Simplify right side
    527,103.20x = 207,586,349,942.36
  5. Step 5: Solve for x
    x = 207,586,349,942.36/527,103.20
  6. Step 6: Final answer
    x = 393,824.87

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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.