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Finding the Fourth Proportional to 396,105.64, 546,639.78 and 283,198.12

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Solution

The fourth proportional to 396,105.64, 546,639.78 and 283,198.12 is: 390,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,105.64 : 546,639.78 = 283,198.12 : x
  2. Step 2: Convert to fraction form
    396,105.64/546,639.78 = 283,198.12/x
  3. Step 3: Cross multiply
    396,105.64x = 546,639.78 × 283,198.12
  4. Step 4: Simplify right side
    396,105.64x = 154,807,358,013.21
  5. Step 5: Solve for x
    x = 154,807,358,013.21/396,105.64
  6. Step 6: Final answer
    x = 390,823.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.