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Finding the Fourth Proportional to 471,331.46, 706,987.63 and 116,348.56

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Solution

The fourth proportional to 471,331.46, 706,987.63 and 116,348.56 is: 174,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,331.46 : 706,987.63 = 116,348.56 : x
  2. Step 2: Convert to fraction form
    471,331.46/706,987.63 = 116,348.56/x
  3. Step 3: Cross multiply
    471,331.46x = 706,987.63 × 116,348.56
  4. Step 4: Simplify right side
    471,331.46x = 82,256,990,339.10
  5. Step 5: Solve for x
    x = 82,256,990,339.10/471,331.46
  6. Step 6: Final answer
    x = 174,520.47

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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.