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Finding the Fourth Proportional to 471,493.28, 707,220.74 and 116,498.36

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Solution

The fourth proportional to 471,493.28, 707,220.74 and 116,498.36 is: 174,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,493.28 : 707,220.74 = 116,498.36 : x
  2. Step 2: Convert to fraction form
    471,493.28/707,220.74 = 116,498.36/x
  3. Step 3: Cross multiply
    471,493.28x = 707,220.74 × 116,498.36
  4. Step 4: Simplify right side
    471,493.28x = 82,390,056,367.99
  5. Step 5: Solve for x
    x = 82,390,056,367.99/471,493.28
  6. Step 6: Final answer
    x = 174,742.80

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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.