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Finding the Fourth Proportional to 382,816.52, 574,181.01 and 102,355.64

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Solution

The fourth proportional to 382,816.52, 574,181.01 and 102,355.64 is: 153,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,816.52 : 574,181.01 = 102,355.64 : x
  2. Step 2: Convert to fraction form
    382,816.52/574,181.01 = 102,355.64/x
  3. Step 3: Cross multiply
    382,816.52x = 574,181.01 × 102,355.64
  4. Step 4: Simplify right side
    382,816.52x = 58,770,661,883.49
  5. Step 5: Solve for x
    x = 58,770,661,883.49/382,816.52
  6. Step 6: Final answer
    x = 153,521.75

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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.