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Finding the Fourth Proportional to 256,657.14, 384,847.11 and 181,923.66

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Solution

The fourth proportional to 256,657.14, 384,847.11 and 181,923.66 is: 272,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,657.14 : 384,847.11 = 181,923.66 : x
  2. Step 2: Convert to fraction form
    256,657.14/384,847.11 = 181,923.66/x
  3. Step 3: Cross multiply
    256,657.14x = 384,847.11 × 181,923.66
  4. Step 4: Simplify right side
    256,657.14x = 70,012,794,791.62
  5. Step 5: Solve for x
    x = 70,012,794,791.62/256,657.14
  6. Step 6: Final answer
    x = 272,787.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.