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Finding the Fourth Proportional to 419,944.32, 630,346.56 and 327,461.76

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Solution

The fourth proportional to 419,944.32, 630,346.56 and 327,461.76 is: 491,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,944.32 : 630,346.56 = 327,461.76 : x
  2. Step 2: Convert to fraction form
    419,944.32/630,346.56 = 327,461.76/x
  3. Step 3: Cross multiply
    419,944.32x = 630,346.56 × 327,461.76
  4. Step 4: Simplify right side
    419,944.32x = 206,414,393,947.55
  5. Step 5: Solve for x
    x = 206,414,393,947.55/419,944.32
  6. Step 6: Final answer
    x = 491,528.01

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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.