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Finding the Fourth Proportional to 396,411.24, 594,707.70 and 171,809.40

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Solution

The fourth proportional to 396,411.24, 594,707.70 and 171,809.40 is: 257,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,411.24 : 594,707.70 = 171,809.40 : x
  2. Step 2: Convert to fraction form
    396,411.24/594,707.70 = 171,809.40/x
  3. Step 3: Cross multiply
    396,411.24x = 594,707.70 × 171,809.40
  4. Step 4: Simplify right side
    396,411.24x = 102,176,373,112.38
  5. Step 5: Solve for x
    x = 102,176,373,112.38/396,411.24
  6. Step 6: Final answer
    x = 257,753.47

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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.