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Finding the Fourth Proportional to 383,853.76, 529,719.14 and 214,098.88

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Solution

The fourth proportional to 383,853.76, 529,719.14 and 214,098.88 is: 295,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,853.76 : 529,719.14 = 214,098.88 : x
  2. Step 2: Convert to fraction form
    383,853.76/529,719.14 = 214,098.88/x
  3. Step 3: Cross multiply
    383,853.76x = 529,719.14 × 214,098.88
  4. Step 4: Simplify right side
    383,853.76x = 113,412,274,588.56
  5. Step 5: Solve for x
    x = 113,412,274,588.56/383,853.76
  6. Step 6: Final answer
    x = 295,456.98

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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.