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Finding the Fourth Proportional to 356,200.16, 491,630.44 and 327,474.32

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Solution

The fourth proportional to 356,200.16, 491,630.44 and 327,474.32 is: 451,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,200.16 : 491,630.44 = 327,474.32 : x
  2. Step 2: Convert to fraction form
    356,200.16/491,630.44 = 327,474.32/x
  3. Step 3: Cross multiply
    356,200.16x = 491,630.44 × 327,474.32
  4. Step 4: Simplify right side
    356,200.16x = 160,996,343,825.89
  5. Step 5: Solve for x
    x = 160,996,343,825.89/356,200.16
  6. Step 6: Final answer
    x = 451,982.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.