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Finding the Fourth Proportional to 256,213.14, 353,721.68 and 170,288.62

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Solution

The fourth proportional to 256,213.14, 353,721.68 and 170,288.62 is: 235,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,213.14 : 353,721.68 = 170,288.62 : x
  2. Step 2: Convert to fraction form
    256,213.14/353,721.68 = 170,288.62/x
  3. Step 3: Cross multiply
    256,213.14x = 353,721.68 × 170,288.62
  4. Step 4: Simplify right side
    256,213.14x = 60,234,776,751.28
  5. Step 5: Solve for x
    x = 60,234,776,751.28/256,213.14
  6. Step 6: Final answer
    x = 235,096.36

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1.5x scale

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.