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Finding the Fourth Proportional to 490,826.61, 736,103.84 and 310,794.93

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Solution

The fourth proportional to 490,826.61, 736,103.84 and 310,794.93 is: 466,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,826.61 : 736,103.84 = 310,794.93 : x
  2. Step 2: Convert to fraction form
    490,826.61/736,103.84 = 310,794.93/x
  3. Step 3: Cross multiply
    490,826.61x = 736,103.84 × 310,794.93
  4. Step 4: Simplify right side
    490,826.61x = 228,777,339,871.56
  5. Step 5: Solve for x
    x = 228,777,339,871.56/490,826.61
  6. Step 6: Final answer
    x = 466,106.23

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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.