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Finding the Fourth Proportional to 381,532.60, 572,558.10 and 213,052.60

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Solution

The fourth proportional to 381,532.60, 572,558.10 and 213,052.60 is: 319,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,532.60 : 572,558.10 = 213,052.60 : x
  2. Step 2: Convert to fraction form
    381,532.60/572,558.10 = 213,052.60/x
  3. Step 3: Cross multiply
    381,532.60x = 572,558.10 × 213,052.60
  4. Step 4: Simplify right side
    381,532.60x = 121,984,991,856.06
  5. Step 5: Solve for x
    x = 121,984,991,856.06/381,532.60
  6. Step 6: Final answer
    x = 319,723.64

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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.