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Finding the Fourth Proportional to 471,507.27, 650,573.74 and 395,334.06

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Solution

The fourth proportional to 471,507.27, 650,573.74 and 395,334.06 is: 545,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,507.27 : 650,573.74 = 395,334.06 : x
  2. Step 2: Convert to fraction form
    471,507.27/650,573.74 = 395,334.06/x
  3. Step 3: Cross multiply
    471,507.27x = 650,573.74 × 395,334.06
  4. Step 4: Simplify right side
    471,507.27x = 257,193,957,963.58
  5. Step 5: Solve for x
    x = 257,193,957,963.58/471,507.27
  6. Step 6: Final answer
    x = 545,471.88

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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.