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Finding the Fourth Proportional to 477,238.16, 715,840.68 and 122,255.12

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Solution

The fourth proportional to 477,238.16, 715,840.68 and 122,255.12 is: 183,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,238.16 : 715,840.68 = 122,255.12 : x
  2. Step 2: Convert to fraction form
    477,238.16/715,840.68 = 122,255.12/x
  3. Step 3: Cross multiply
    477,238.16x = 715,840.68 × 122,255.12
  4. Step 4: Simplify right side
    477,238.16x = 87,515,188,234.28
  5. Step 5: Solve for x
    x = 87,515,188,234.28/477,238.16
  6. Step 6: Final answer
    x = 183,378.44

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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.