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Finding the Fourth Proportional to 547,431.76, 825,358.78 and 537,634

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Solution

The fourth proportional to 547,431.76, 825,358.78 and 537,634 is: 810,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,431.76 : 825,358.78 = 537,634 : x
  2. Step 2: Convert to fraction form
    547,431.76/825,358.78 = 537,634/x
  3. Step 3: Cross multiply
    547,431.76x = 825,358.78 × 537,634
  4. Step 4: Simplify right side
    547,431.76x = 443,740,942,326.52
  5. Step 5: Solve for x
    x = 443,740,942,326.52/547,431.76
  6. Step 6: Final answer
    x = 810,586.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.