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Finding the Fourth Proportional to 407,153.58, 610,784.13 and 150,950.78

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Solution

The fourth proportional to 407,153.58, 610,784.13 and 150,950.78 is: 226,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,153.58 : 610,784.13 = 150,950.78 : x
  2. Step 2: Convert to fraction form
    407,153.58/610,784.13 = 150,950.78/x
  3. Step 3: Cross multiply
    407,153.58x = 610,784.13 × 150,950.78
  4. Step 4: Simplify right side
    407,153.58x = 92,198,337,781.20
  5. Step 5: Solve for x
    x = 92,198,337,781.20/407,153.58
  6. Step 6: Final answer
    x = 226,446.09

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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.