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Finding the Fourth Proportional to 490,794.91, 736,201.59 and 153,828.10

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Solution

The fourth proportional to 490,794.91, 736,201.59 and 153,828.10 is: 230,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,794.91 : 736,201.59 = 153,828.10 : x
  2. Step 2: Convert to fraction form
    490,794.91/736,201.59 = 153,828.10/x
  3. Step 3: Cross multiply
    490,794.91x = 736,201.59 × 153,828.10
  4. Step 4: Simplify right side
    490,794.91x = 113,248,491,806.68
  5. Step 5: Solve for x
    x = 113,248,491,806.68/490,794.91
  6. Step 6: Final answer
    x = 230,745.04

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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.