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Finding the Fourth Proportional to 471,506.15, 707,252.31 and 116,520.17

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Solution

The fourth proportional to 471,506.15, 707,252.31 and 116,520.17 is: 174,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,506.15 : 707,252.31 = 116,520.17 : x
  2. Step 2: Convert to fraction form
    471,506.15/707,252.31 = 116,520.17/x
  3. Step 3: Cross multiply
    471,506.15x = 707,252.31 × 116,520.17
  4. Step 4: Simplify right side
    471,506.15x = 82,409,155,857.83
  5. Step 5: Solve for x
    x = 82,409,155,857.83/471,506.15
  6. Step 6: Final answer
    x = 174,778.54

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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.