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Finding the Fourth Proportional to 527,288.37, 727,653.78 and 285,565.38

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Solution

The fourth proportional to 527,288.37, 727,653.78 and 285,565.38 is: 394,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,288.37 : 727,653.78 = 285,565.38 : x
  2. Step 2: Convert to fraction form
    527,288.37/727,653.78 = 285,565.38/x
  3. Step 3: Cross multiply
    527,288.37x = 727,653.78 × 285,565.38
  4. Step 4: Simplify right side
    527,288.37x = 207,792,728,194.14
  5. Step 5: Solve for x
    x = 207,792,728,194.14/527,288.37
  6. Step 6: Final answer
    x = 394,077.97

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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.