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Finding the Fourth Proportional to 321,384.08, 481,881.68 and 143,858

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Solution

The fourth proportional to 321,384.08, 481,881.68 and 143,858 is: 215,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,384.08 : 481,881.68 = 143,858 : x
  2. Step 2: Convert to fraction form
    321,384.08/481,881.68 = 143,858/x
  3. Step 3: Cross multiply
    321,384.08x = 481,881.68 × 143,858
  4. Step 4: Simplify right side
    321,384.08x = 69,322,534,721.44
  5. Step 5: Solve for x
    x = 69,322,534,721.44/321,384.08
  6. Step 6: Final answer
    x = 215,699.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.