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Finding the Fourth Proportional to 396,476.88, 547,146.24 and 224,394.84

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Solution

The fourth proportional to 396,476.88, 547,146.24 and 224,394.84 is: 309,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,476.88 : 547,146.24 = 224,394.84 : x
  2. Step 2: Convert to fraction form
    396,476.88/547,146.24 = 224,394.84/x
  3. Step 3: Cross multiply
    396,476.88x = 547,146.24 × 224,394.84
  4. Step 4: Simplify right side
    396,476.88x = 122,776,792,981.40
  5. Step 5: Solve for x
    x = 122,776,792,981.40/396,476.88
  6. Step 6: Final answer
    x = 309,669.49

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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.