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Finding the Fourth Proportional to 471,506.91, 707,253.44 and 116,520.92

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Solution

The fourth proportional to 471,506.91, 707,253.44 and 116,520.92 is: 174,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,506.91 : 707,253.44 = 116,520.92 : x
  2. Step 2: Convert to fraction form
    471,506.91/707,253.44 = 116,520.92/x
  3. Step 3: Cross multiply
    471,506.91x = 707,253.44 × 116,520.92
  4. Step 4: Simplify right side
    471,506.91x = 82,409,817,383.09
  5. Step 5: Solve for x
    x = 82,409,817,383.09/471,506.91
  6. Step 6: Final answer
    x = 174,779.66

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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.