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Finding the Fourth Proportional to 356,313.86, 491,762.03 and 218,468.40

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Solution

The fourth proportional to 356,313.86, 491,762.03 and 218,468.40 is: 301,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,313.86 : 491,762.03 = 218,468.40 : x
  2. Step 2: Convert to fraction form
    356,313.86/491,762.03 = 218,468.40/x
  3. Step 3: Cross multiply
    356,313.86x = 491,762.03 × 218,468.40
  4. Step 4: Simplify right side
    356,313.86x = 107,434,463,874.85
  5. Step 5: Solve for x
    x = 107,434,463,874.85/356,313.86
  6. Step 6: Final answer
    x = 301,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.