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Finding the Fourth Proportional to 490,682.91, 736,023.46 and 153,749.37

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Solution

The fourth proportional to 490,682.91, 736,023.46 and 153,749.37 is: 230,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,682.91 : 736,023.46 = 153,749.37 : x
  2. Step 2: Convert to fraction form
    490,682.91/736,023.46 = 153,749.37/x
  3. Step 3: Cross multiply
    490,682.91x = 736,023.46 × 153,749.37
  4. Step 4: Simplify right side
    490,682.91x = 113,163,139,734.02
  5. Step 5: Solve for x
    x = 113,163,139,734.02/490,682.91
  6. Step 6: Final answer
    x = 230,623.76

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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.