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Finding the Fourth Proportional to 256,472.96, 353,975.74 and 173,649.38

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Solution

The fourth proportional to 256,472.96, 353,975.74 and 173,649.38 is: 239,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,472.96 : 353,975.74 = 173,649.38 : x
  2. Step 2: Convert to fraction form
    256,472.96/353,975.74 = 173,649.38/x
  3. Step 3: Cross multiply
    256,472.96x = 353,975.74 × 173,649.38
  4. Step 4: Simplify right side
    256,472.96x = 61,467,665,582.04
  5. Step 5: Solve for x
    x = 61,467,665,582.04/256,472.96
  6. Step 6: Final answer
    x = 239,665.28

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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.