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Finding the Fourth Proportional to 471,060.80, 706,738.24 and 155,739.20

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Solution

The fourth proportional to 471,060.80, 706,738.24 and 155,739.20 is: 233,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,060.80 : 706,738.24 = 155,739.20 : x
  2. Step 2: Convert to fraction form
    471,060.80/706,738.24 = 155,739.20/x
  3. Step 3: Cross multiply
    471,060.80x = 706,738.24 × 155,739.20
  4. Step 4: Simplify right side
    471,060.80x = 110,066,848,107.01
  5. Step 5: Solve for x
    x = 110,066,848,107.01/471,060.80
  6. Step 6: Final answer
    x = 233,657.41

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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.