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Finding the Fourth Proportional to 256,226.40, 384,109.20 and 167,522.40

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Solution

The fourth proportional to 256,226.40, 384,109.20 and 167,522.40 is: 251,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,226.40 : 384,109.20 = 167,522.40 : x
  2. Step 2: Convert to fraction form
    256,226.40/384,109.20 = 167,522.40/x
  3. Step 3: Cross multiply
    256,226.40x = 384,109.20 × 167,522.40
  4. Step 4: Simplify right side
    256,226.40x = 64,346,895,046.08
  5. Step 5: Solve for x
    x = 64,346,895,046.08/256,226.40
  6. Step 6: Final answer
    x = 251,132.96

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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.