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Finding the Fourth Proportional to 490,847.40, 736,659.90 and 191,471.40

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Solution

The fourth proportional to 490,847.40, 736,659.90 and 191,471.40 is: 287,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,847.40 : 736,659.90 = 191,471.40 : x
  2. Step 2: Convert to fraction form
    490,847.40/736,659.90 = 191,471.40/x
  3. Step 3: Cross multiply
    490,847.40x = 736,659.90 × 191,471.40
  4. Step 4: Simplify right side
    490,847.40x = 141,049,302,376.86
  5. Step 5: Solve for x
    x = 141,049,302,376.86/490,847.40
  6. Step 6: Final answer
    x = 287,358.76

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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.