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Finding the Fourth Proportional to 471,745.01, 707,658.53 and 151,929.07

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Solution

The fourth proportional to 471,745.01, 707,658.53 and 151,929.07 is: 227,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,745.01 : 707,658.53 = 151,929.07 : x
  2. Step 2: Convert to fraction form
    471,745.01/707,658.53 = 151,929.07/x
  3. Step 3: Cross multiply
    471,745.01x = 707,658.53 × 151,929.07
  4. Step 4: Simplify right side
    471,745.01x = 107,513,899,811.68
  5. Step 5: Solve for x
    x = 107,513,899,811.68/471,745.01
  6. Step 6: Final answer
    x = 227,906.81

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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.