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Finding the Fourth Proportional to 301,113.74, 451,711.92 and 174,813.27

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Solution

The fourth proportional to 301,113.74, 451,711.92 and 174,813.27 is: 262,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,113.74 : 451,711.92 = 174,813.27 : x
  2. Step 2: Convert to fraction form
    301,113.74/451,711.92 = 174,813.27/x
  3. Step 3: Cross multiply
    301,113.74x = 451,711.92 × 174,813.27
  4. Step 4: Simplify right side
    301,113.74x = 78,965,236,959.11
  5. Step 5: Solve for x
    x = 78,965,236,959.11/301,113.74
  6. Step 6: Final answer
    x = 262,243.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.