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Finding the Fourth Proportional to 381,523.60, 572,544.60 and 213,043.60

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Solution

The fourth proportional to 381,523.60, 572,544.60 and 213,043.60 is: 319,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,523.60 : 572,544.60 = 213,043.60 : x
  2. Step 2: Convert to fraction form
    381,523.60/572,544.60 = 213,043.60/x
  3. Step 3: Cross multiply
    381,523.60x = 572,544.60 × 213,043.60
  4. Step 4: Simplify right side
    381,523.60x = 121,976,962,744.56
  5. Step 5: Solve for x
    x = 121,976,962,744.56/381,523.60
  6. Step 6: Final answer
    x = 319,710.14

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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.