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Finding the Fourth Proportional to 455,523.56, 683,215.20 and 151,923

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Solution

The fourth proportional to 455,523.56, 683,215.20 and 151,923 is: 227,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,523.56 : 683,215.20 = 151,923 : x
  2. Step 2: Convert to fraction form
    455,523.56/683,215.20 = 151,923/x
  3. Step 3: Cross multiply
    455,523.56x = 683,215.20 × 151,923
  4. Step 4: Simplify right side
    455,523.56x = 103,796,102,829.60
  5. Step 5: Solve for x
    x = 103,796,102,829.60/455,523.56
  6. Step 6: Final answer
    x = 227,861.11

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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.