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Finding the Fourth Proportional to 383,835, 529,692.33 and 214,065.48

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Solution

The fourth proportional to 383,835, 529,692.33 and 214,065.48 is: 295,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,835 : 529,692.33 = 214,065.48 : x
  2. Step 2: Convert to fraction form
    383,835/529,692.33 = 214,065.48/x
  3. Step 3: Cross multiply
    383,835x = 529,692.33 × 214,065.48
  4. Step 4: Simplify right side
    383,835x = 113,388,842,873.77
  5. Step 5: Solve for x
    x = 113,388,842,873.77/383,835
  6. Step 6: Final answer
    x = 295,410.38

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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.