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Finding the Fourth Proportional to 411,374.70, 617,123.61 and 130,954.86

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Solution

The fourth proportional to 411,374.70, 617,123.61 and 130,954.86 is: 196,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,374.70 : 617,123.61 = 130,954.86 : x
  2. Step 2: Convert to fraction form
    411,374.70/617,123.61 = 130,954.86/x
  3. Step 3: Cross multiply
    411,374.70x = 617,123.61 × 130,954.86
  4. Step 4: Simplify right side
    411,374.70x = 80,815,335,950.24
  5. Step 5: Solve for x
    x = 80,815,335,950.24/411,374.70
  6. Step 6: Final answer
    x = 196,451.89

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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.