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Finding the Fourth Proportional to 324,007.60, 486,011.40 and 164,575.30

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Solution

The fourth proportional to 324,007.60, 486,011.40 and 164,575.30 is: 246,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,007.60 : 486,011.40 = 164,575.30 : x
  2. Step 2: Convert to fraction form
    324,007.60/486,011.40 = 164,575.30/x
  3. Step 3: Cross multiply
    324,007.60x = 486,011.40 × 164,575.30
  4. Step 4: Simplify right side
    324,007.60x = 79,985,471,958.42
  5. Step 5: Solve for x
    x = 79,985,471,958.42/324,007.60
  6. Step 6: Final answer
    x = 246,862.95

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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.