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Finding the Fourth Proportional to 332,000, 498,004.32 and 110,384

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Solution

The fourth proportional to 332,000, 498,004.32 and 110,384 is: 165,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,000 : 498,004.32 = 110,384 : x
  2. Step 2: Convert to fraction form
    332,000/498,004.32 = 110,384/x
  3. Step 3: Cross multiply
    332,000x = 498,004.32 × 110,384
  4. Step 4: Simplify right side
    332,000x = 54,971,708,858.88
  5. Step 5: Solve for x
    x = 54,971,708,858.88/332,000
  6. Step 6: Final answer
    x = 165,577.44

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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.