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Finding the Fourth Proportional to 527,511.94, 727,967.20 and 285,794.52

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Solution

The fourth proportional to 527,511.94, 727,967.20 and 285,794.52 is: 394,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,511.94 : 727,967.20 = 285,794.52 : x
  2. Step 2: Convert to fraction form
    527,511.94/727,967.20 = 285,794.52/x
  3. Step 3: Cross multiply
    527,511.94x = 727,967.20 × 285,794.52
  4. Step 4: Simplify right side
    527,511.94x = 208,049,035,785.26
  5. Step 5: Solve for x
    x = 208,049,035,785.26/527,511.94
  6. Step 6: Final answer
    x = 394,396.83

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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.