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Finding the Fourth Proportional to 256,478.09, 353,982.83 and 173,654.51

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Solution

The fourth proportional to 256,478.09, 353,982.83 and 173,654.51 is: 239,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,478.09 : 353,982.83 = 173,654.51 : x
  2. Step 2: Convert to fraction form
    256,478.09/353,982.83 = 173,654.51/x
  3. Step 3: Cross multiply
    256,478.09x = 353,982.83 × 173,654.51
  4. Step 4: Simplify right side
    256,478.09x = 61,470,714,023.79
  5. Step 5: Solve for x
    x = 61,470,714,023.79/256,478.09
  6. Step 6: Final answer
    x = 239,672.38

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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.