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Finding the Fourth Proportional to 396,385.16, 594,668.60 and 171,783.30

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Solution

The fourth proportional to 396,385.16, 594,668.60 and 171,783.30 is: 257,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,385.16 : 594,668.60 = 171,783.30 : x
  2. Step 2: Convert to fraction form
    396,385.16/594,668.60 = 171,783.30/x
  3. Step 3: Cross multiply
    396,385.16x = 594,668.60 × 171,783.30
  4. Step 4: Simplify right side
    396,385.16x = 102,154,133,655.46
  5. Step 5: Solve for x
    x = 102,154,133,655.46/396,385.16
  6. Step 6: Final answer
    x = 257,714.33

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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.