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Finding the Fourth Proportional to 381,712.40, 572,568.60 and 364,216.40

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Solution

The fourth proportional to 381,712.40, 572,568.60 and 364,216.40 is: 546,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,712.40 : 572,568.60 = 364,216.40 : x
  2. Step 2: Convert to fraction form
    381,712.40/572,568.60 = 364,216.40/x
  3. Step 3: Cross multiply
    381,712.40x = 572,568.60 × 364,216.40
  4. Step 4: Simplify right side
    381,712.40x = 208,538,874,245.04
  5. Step 5: Solve for x
    x = 208,538,874,245.04/381,712.40
  6. Step 6: Final answer
    x = 546,324.60

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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.