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Finding the Fourth Proportional to 383,788.80, 529,616.88 and 214,051.68

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Solution

The fourth proportional to 383,788.80, 529,616.88 and 214,051.68 is: 295,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,788.80 : 529,616.88 = 214,051.68 : x
  2. Step 2: Convert to fraction form
    383,788.80/529,616.88 = 214,051.68/x
  3. Step 3: Cross multiply
    383,788.80x = 529,616.88 × 214,051.68
  4. Step 4: Simplify right side
    383,788.80x = 113,365,382,920.36
  5. Step 5: Solve for x
    x = 113,365,382,920.36/383,788.80
  6. Step 6: Final answer
    x = 295,384.81

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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.