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Finding the Fourth Proportional to 471,707.94, 650,954.19 and 256,847.49

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Solution

The fourth proportional to 471,707.94, 650,954.19 and 256,847.49 is: 354,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,707.94 : 650,954.19 = 256,847.49 : x
  2. Step 2: Convert to fraction form
    471,707.94/650,954.19 = 256,847.49/x
  3. Step 3: Cross multiply
    471,707.94x = 650,954.19 × 256,847.49
  4. Step 4: Simplify right side
    471,707.94x = 167,195,948,522.25
  5. Step 5: Solve for x
    x = 167,195,948,522.25/471,707.94
  6. Step 6: Final answer
    x = 354,448.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.