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Finding the Fourth Proportional to 403,840.91, 605,771.09 and 193,247.39

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Solution

The fourth proportional to 403,840.91, 605,771.09 and 193,247.39 is: 289,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,840.91 : 605,771.09 = 193,247.39 : x
  2. Step 2: Convert to fraction form
    403,840.91/605,771.09 = 193,247.39/x
  3. Step 3: Cross multiply
    403,840.91x = 605,771.09 × 193,247.39
  4. Step 4: Simplify right side
    403,840.91x = 117,063,678,084.86
  5. Step 5: Solve for x
    x = 117,063,678,084.86/403,840.91
  6. Step 6: Final answer
    x = 289,875.73

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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.