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Finding the Fourth Proportional to 383,758.83, 529,588.44 and 214,003.89

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Solution

The fourth proportional to 383,758.83, 529,588.44 and 214,003.89 is: 295,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,758.83 : 529,588.44 = 214,003.89 : x
  2. Step 2: Convert to fraction form
    383,758.83/529,588.44 = 214,003.89/x
  3. Step 3: Cross multiply
    383,758.83x = 529,588.44 × 214,003.89
  4. Step 4: Simplify right side
    383,758.83x = 113,333,986,259.03
  5. Step 5: Solve for x
    x = 113,333,986,259.03/383,758.83
  6. Step 6: Final answer
    x = 295,326.07

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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.