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Finding the Fourth Proportional to 471,956.09, 651,296.23 and 257,096.30

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Solution

The fourth proportional to 471,956.09, 651,296.23 and 257,096.30 is: 354,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,956.09 : 651,296.23 = 257,096.30 : x
  2. Step 2: Convert to fraction form
    471,956.09/651,296.23 = 257,096.30/x
  3. Step 3: Cross multiply
    471,956.09x = 651,296.23 × 257,096.30
  4. Step 4: Simplify right side
    471,956.09x = 167,445,847,037.73
  5. Step 5: Solve for x
    x = 167,445,847,037.73/471,956.09
  6. Step 6: Final answer
    x = 354,791.16

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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.