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Finding the Fourth Proportional to 260,023.20, 364,524 and 260,023.20

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Solution

The fourth proportional to 260,023.20, 364,524 and 260,023.20 is: 364,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,023.20 : 364,524 = 260,023.20 : x
  2. Step 2: Convert to fraction form
    260,023.20/364,524 = 260,023.20/x
  3. Step 3: Cross multiply
    260,023.20x = 364,524 × 260,023.20
  4. Step 4: Simplify right side
    260,023.20x = 94,784,696,956.80
  5. Step 5: Solve for x
    x = 94,784,696,956.80/260,023.20
  6. Step 6: Final answer
    x = 364,524

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.