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Finding the Fourth Proportional to 471,512.91, 707,262.44 and 116,526.92

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Solution

The fourth proportional to 471,512.91, 707,262.44 and 116,526.92 is: 174,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,512.91 : 707,262.44 = 116,526.92 : x
  2. Step 2: Convert to fraction form
    471,512.91/707,262.44 = 116,526.92/x
  3. Step 3: Cross multiply
    471,512.91x = 707,262.44 × 116,526.92
  4. Step 4: Simplify right side
    471,512.91x = 82,415,109,645.94
  5. Step 5: Solve for x
    x = 82,415,109,645.94/471,512.91
  6. Step 6: Final answer
    x = 174,788.66

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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.