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Finding the Fourth Proportional to 406,857.46, 610,202.76 and 154,050.73

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Solution

The fourth proportional to 406,857.46, 610,202.76 and 154,050.73 is: 231,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,857.46 : 610,202.76 = 154,050.73 : x
  2. Step 2: Convert to fraction form
    406,857.46/610,202.76 = 154,050.73/x
  3. Step 3: Cross multiply
    406,857.46x = 610,202.76 × 154,050.73
  4. Step 4: Simplify right side
    406,857.46x = 94,002,180,626.01
  5. Step 5: Solve for x
    x = 94,002,180,626.01/406,857.46
  6. Step 6: Final answer
    x = 231,044.51

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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.