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Finding the Fourth Proportional to 472,090.29, 651,466.31 and 257,231.96

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Solution

The fourth proportional to 472,090.29, 651,466.31 and 257,231.96 is: 354,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,090.29 : 651,466.31 = 257,231.96 : x
  2. Step 2: Convert to fraction form
    472,090.29/651,466.31 = 257,231.96/x
  3. Step 3: Cross multiply
    472,090.29x = 651,466.31 × 257,231.96
  4. Step 4: Simplify right side
    472,090.29x = 167,577,951,251.78
  5. Step 5: Solve for x
    x = 167,577,951,251.78/472,090.29
  6. Step 6: Final answer
    x = 354,970.13

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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.