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Finding the Fourth Proportional to 471,863.12, 651,175.32 and 257,004.16

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Solution

The fourth proportional to 471,863.12, 651,175.32 and 257,004.16 is: 354,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,863.12 : 651,175.32 = 257,004.16 : x
  2. Step 2: Convert to fraction form
    471,863.12/651,175.32 = 257,004.16/x
  3. Step 3: Cross multiply
    471,863.12x = 651,175.32 × 257,004.16
  4. Step 4: Simplify right side
    471,863.12x = 167,354,766,129.33
  5. Step 5: Solve for x
    x = 167,354,766,129.33/471,863.12
  6. Step 6: Final answer
    x = 354,668.04

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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.