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Finding the Fourth Proportional to 471,077.78, 706,189.04 and 171,346.46

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Solution

The fourth proportional to 471,077.78, 706,189.04 and 171,346.46 is: 256,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,077.78 : 706,189.04 = 171,346.46 : x
  2. Step 2: Convert to fraction form
    471,077.78/706,189.04 = 171,346.46/x
  3. Step 3: Cross multiply
    471,077.78x = 706,189.04 × 171,346.46
  4. Step 4: Simplify right side
    471,077.78x = 121,002,987,707.12
  5. Step 5: Solve for x
    x = 121,002,987,707.12/471,077.78
  6. Step 6: Final answer
    x = 256,864.14

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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.