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Finding the Fourth Proportional to 471,505.30, 707,258.55 and 116,513.89

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Solution

The fourth proportional to 471,505.30, 707,258.55 and 116,513.89 is: 174,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,505.30 : 707,258.55 = 116,513.89 : x
  2. Step 2: Convert to fraction form
    471,505.30/707,258.55 = 116,513.89/x
  3. Step 3: Cross multiply
    471,505.30x = 707,258.55 × 116,513.89
  4. Step 4: Simplify right side
    471,505.30x = 82,405,444,896.26
  5. Step 5: Solve for x
    x = 82,405,444,896.26/471,505.30
  6. Step 6: Final answer
    x = 174,770.98

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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.