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Finding the Fourth Proportional to 471,165.20, 706,755.29 and 116,179.32

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Solution

The fourth proportional to 471,165.20, 706,755.29 and 116,179.32 is: 174,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,165.20 : 706,755.29 = 116,179.32 : x
  2. Step 2: Convert to fraction form
    471,165.20/706,755.29 = 116,179.32/x
  3. Step 3: Cross multiply
    471,165.20x = 706,755.29 × 116,179.32
  4. Step 4: Simplify right side
    471,165.20x = 82,110,348,417.71
  5. Step 5: Solve for x
    x = 82,110,348,417.71/471,165.20
  6. Step 6: Final answer
    x = 174,270.83

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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.