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Finding the Fourth Proportional to 471,511.32, 707,267.56 and 116,519.90

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Solution

The fourth proportional to 471,511.32, 707,267.56 and 116,519.90 is: 174,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,511.32 : 707,267.56 = 116,519.90 : x
  2. Step 2: Convert to fraction form
    471,511.32/707,267.56 = 116,519.90/x
  3. Step 3: Cross multiply
    471,511.32x = 707,267.56 × 116,519.90
  4. Step 4: Simplify right side
    471,511.32x = 82,410,745,364.44
  5. Step 5: Solve for x
    x = 82,410,745,364.44/471,511.32
  6. Step 6: Final answer
    x = 174,779.99

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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.