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Finding the Fourth Proportional to 407,536.62, 611,166.51 and 141,234.90

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Solution

The fourth proportional to 407,536.62, 611,166.51 and 141,234.90 is: 211,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,536.62 : 611,166.51 = 141,234.90 : x
  2. Step 2: Convert to fraction form
    407,536.62/611,166.51 = 141,234.90/x
  3. Step 3: Cross multiply
    407,536.62x = 611,166.51 × 141,234.90
  4. Step 4: Simplify right side
    407,536.62x = 86,318,040,923.20
  5. Step 5: Solve for x
    x = 86,318,040,923.20/407,536.62
  6. Step 6: Final answer
    x = 211,804.38

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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.