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Finding the Fourth Proportional to 471,194.43, 706,788.41 and 190,707.63

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Solution

The fourth proportional to 471,194.43, 706,788.41 and 190,707.63 is: 286,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,194.43 : 706,788.41 = 190,707.63 : x
  2. Step 2: Convert to fraction form
    471,194.43/706,788.41 = 190,707.63/x
  3. Step 3: Cross multiply
    471,194.43x = 706,788.41 × 190,707.63
  4. Step 4: Simplify right side
    471,194.43x = 134,789,941,629.03
  5. Step 5: Solve for x
    x = 134,789,941,629.03/471,194.43
  6. Step 6: Final answer
    x = 286,060.13

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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.