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Finding the Fourth Proportional to 396,595.76, 594,806.16 and 116,134.88

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Solution

The fourth proportional to 396,595.76, 594,806.16 and 116,134.88 is: 174,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,595.76 : 594,806.16 = 116,134.88 : x
  2. Step 2: Convert to fraction form
    396,595.76/594,806.16 = 116,134.88/x
  3. Step 3: Cross multiply
    396,595.76x = 594,806.16 × 116,134.88
  4. Step 4: Simplify right side
    396,595.76x = 69,077,742,014.86
  5. Step 5: Solve for x
    x = 69,077,742,014.86/396,595.76
  6. Step 6: Final answer
    x = 174,176.70

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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.