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Finding the Fourth Proportional to 496,530.24, 744,829.92 and 164,339.52

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Solution

The fourth proportional to 496,530.24, 744,829.92 and 164,339.52 is: 246,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,530.24 : 744,829.92 = 164,339.52 : x
  2. Step 2: Convert to fraction form
    496,530.24/744,829.92 = 164,339.52/x
  3. Step 3: Cross multiply
    496,530.24x = 744,829.92 × 164,339.52
  4. Step 4: Simplify right side
    496,530.24x = 122,404,991,534.44
  5. Step 5: Solve for x
    x = 122,404,991,534.44/496,530.24
  6. Step 6: Final answer
    x = 246,520.72

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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.