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Finding the Fourth Proportional to 471,508.16, 707,255.30 and 116,522.16

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Solution

The fourth proportional to 471,508.16, 707,255.30 and 116,522.16 is: 174,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,508.16 : 707,255.30 = 116,522.16 : x
  2. Step 2: Convert to fraction form
    471,508.16/707,255.30 = 116,522.16/x
  3. Step 3: Cross multiply
    471,508.16x = 707,255.30 × 116,522.16
  4. Step 4: Simplify right side
    471,508.16x = 82,410,915,227.45
  5. Step 5: Solve for x
    x = 82,410,915,227.45/471,508.16
  6. Step 6: Final answer
    x = 174,781.52

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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.