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Finding the Fourth Proportional to 383,954.02, 529,855.77 and 214,178.02

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Solution

The fourth proportional to 383,954.02, 529,855.77 and 214,178.02 is: 295,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,954.02 : 529,855.77 = 214,178.02 : x
  2. Step 2: Convert to fraction form
    383,954.02/529,855.77 = 214,178.02/x
  3. Step 3: Cross multiply
    383,954.02x = 529,855.77 × 214,178.02
  4. Step 4: Simplify right side
    383,954.02x = 113,483,459,704.18
  5. Step 5: Solve for x
    x = 113,483,459,704.18/383,954.02
  6. Step 6: Final answer
    x = 295,565.23

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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.