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Finding the Fourth Proportional to 383,762.86, 529,601.22 and 211,686.05

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Solution

The fourth proportional to 383,762.86, 529,601.22 and 211,686.05 is: 292,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,762.86 : 529,601.22 = 211,686.05 : x
  2. Step 2: Convert to fraction form
    383,762.86/529,601.22 = 211,686.05/x
  3. Step 3: Cross multiply
    383,762.86x = 529,601.22 × 211,686.05
  4. Step 4: Simplify right side
    383,762.86x = 112,109,191,660.98
  5. Step 5: Solve for x
    x = 112,109,191,660.98/383,762.86
  6. Step 6: Final answer
    x = 292,131.43

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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.