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Finding the Fourth Proportional to 471,055.62, 706,583.82 and 116,069.68

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Solution

The fourth proportional to 471,055.62, 706,583.82 and 116,069.68 is: 174,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,055.62 : 706,583.82 = 116,069.68 : x
  2. Step 2: Convert to fraction form
    471,055.62/706,583.82 = 116,069.68/x
  3. Step 3: Cross multiply
    471,055.62x = 706,583.82 × 116,069.68
  4. Step 4: Simplify right side
    471,055.62x = 82,012,957,880.58
  5. Step 5: Solve for x
    x = 82,012,957,880.58/471,055.62
  6. Step 6: Final answer
    x = 174,104.62

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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.