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Finding the Fourth Proportional to 256,270.40, 384,405.60 and 167,796.80

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Solution

The fourth proportional to 256,270.40, 384,405.60 and 167,796.80 is: 251,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,270.40 : 384,405.60 = 167,796.80 : x
  2. Step 2: Convert to fraction form
    256,270.40/384,405.60 = 167,796.80/x
  3. Step 3: Cross multiply
    256,270.40x = 384,405.60 × 167,796.80
  4. Step 4: Simplify right side
    256,270.40x = 64,502,029,582.08
  5. Step 5: Solve for x
    x = 64,502,029,582.08/256,270.40
  6. Step 6: Final answer
    x = 251,695.20

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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.