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Finding the Fourth Proportional to 471,506.31, 707,265.96 and 134,546.86

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Solution

The fourth proportional to 471,506.31, 707,265.96 and 134,546.86 is: 201,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,506.31 : 707,265.96 = 134,546.86 : x
  2. Step 2: Convert to fraction form
    471,506.31/707,265.96 = 134,546.86/x
  3. Step 3: Cross multiply
    471,506.31x = 707,265.96 × 134,546.86
  4. Step 4: Simplify right side
    471,506.31x = 95,160,414,102.89
  5. Step 5: Solve for x
    x = 95,160,414,102.89/471,506.31
  6. Step 6: Final answer
    x = 201,822.14

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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.