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Finding the Fourth Proportional to 381,672.60, 533,641.80 and 381,672.60

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Solution

The fourth proportional to 381,672.60, 533,641.80 and 381,672.60 is: 533,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,672.60 : 533,641.80 = 381,672.60 : x
  2. Step 2: Convert to fraction form
    381,672.60/533,641.80 = 381,672.60/x
  3. Step 3: Cross multiply
    381,672.60x = 533,641.80 × 381,672.60
  4. Step 4: Simplify right side
    381,672.60x = 203,676,453,274.68
  5. Step 5: Solve for x
    x = 203,676,453,274.68/381,672.60
  6. Step 6: Final answer
    x = 533,641.80

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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.