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Finding the Fourth Proportional to 256,998.30, 385,497.45 and 166,796.70

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Solution

The fourth proportional to 256,998.30, 385,497.45 and 166,796.70 is: 250,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,998.30 : 385,497.45 = 166,796.70 : x
  2. Step 2: Convert to fraction form
    256,998.30/385,497.45 = 166,796.70/x
  3. Step 3: Cross multiply
    256,998.30x = 385,497.45 × 166,796.70
  4. Step 4: Simplify right side
    256,998.30x = 64,299,702,518.42
  5. Step 5: Solve for x
    x = 64,299,702,518.42/256,998.30
  6. Step 6: Final answer
    x = 250,195.05

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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.