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Finding the Fourth Proportional to 413,151.60, 619,678.20 and 113,662.62

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Solution

The fourth proportional to 413,151.60, 619,678.20 and 113,662.62 is: 170,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,151.60 : 619,678.20 = 113,662.62 : x
  2. Step 2: Convert to fraction form
    413,151.60/619,678.20 = 113,662.62/x
  3. Step 3: Cross multiply
    413,151.60x = 619,678.20 × 113,662.62
  4. Step 4: Simplify right side
    413,151.60x = 70,434,247,768.88
  5. Step 5: Solve for x
    x = 70,434,247,768.88/413,151.60
  6. Step 6: Final answer
    x = 170,480.39

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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.