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Finding the Fourth Proportional to 527,498.31, 727,946.64 and 285,786.92

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Solution

The fourth proportional to 527,498.31, 727,946.64 and 285,786.92 is: 394,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,498.31 : 727,946.64 = 285,786.92 : x
  2. Step 2: Convert to fraction form
    527,498.31/727,946.64 = 285,786.92/x
  3. Step 3: Cross multiply
    527,498.31x = 727,946.64 × 285,786.92
  4. Step 4: Simplify right side
    527,498.31x = 208,037,624,530.22
  5. Step 5: Solve for x
    x = 208,037,624,530.22/527,498.31
  6. Step 6: Final answer
    x = 394,385.39

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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.