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Finding the Fourth Proportional to 265,523.40, 398,285.10 and 165,796.20

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Solution

The fourth proportional to 265,523.40, 398,285.10 and 165,796.20 is: 248,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,523.40 : 398,285.10 = 165,796.20 : x
  2. Step 2: Convert to fraction form
    265,523.40/398,285.10 = 165,796.20/x
  3. Step 3: Cross multiply
    265,523.40x = 398,285.10 × 165,796.20
  4. Step 4: Simplify right side
    265,523.40x = 66,034,156,096.62
  5. Step 5: Solve for x
    x = 66,034,156,096.62/265,523.40
  6. Step 6: Final answer
    x = 248,694.30

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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.