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Finding the Fourth Proportional to 256,276.80, 384,415.20 and 226,752.30

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Solution

The fourth proportional to 256,276.80, 384,415.20 and 226,752.30 is: 340,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,276.80 : 384,415.20 = 226,752.30 : x
  2. Step 2: Convert to fraction form
    256,276.80/384,415.20 = 226,752.30/x
  3. Step 3: Cross multiply
    256,276.80x = 384,415.20 × 226,752.30
  4. Step 4: Simplify right side
    256,276.80x = 87,167,030,754.96
  5. Step 5: Solve for x
    x = 87,167,030,754.96/256,276.80
  6. Step 6: Final answer
    x = 340,128.45

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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.