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Finding the Fourth Proportional to 471,474.83, 650,637.97 and 256,614.38

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Solution

The fourth proportional to 471,474.83, 650,637.97 and 256,614.38 is: 354,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,474.83 : 650,637.97 = 256,614.38 : x
  2. Step 2: Convert to fraction form
    471,474.83/650,637.97 = 256,614.38/x
  3. Step 3: Cross multiply
    471,474.83x = 650,637.97 × 256,614.38
  4. Step 4: Simplify right side
    471,474.83x = 166,963,057,821.18
  5. Step 5: Solve for x
    x = 166,963,057,821.18/471,474.83
  6. Step 6: Final answer
    x = 354,129.32

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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.