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Finding the Fourth Proportional to 382,485.26, 527,842.50 and 210,410.48

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Solution

The fourth proportional to 382,485.26, 527,842.50 and 210,410.48 is: 290,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,485.26 : 527,842.50 = 210,410.48 : x
  2. Step 2: Convert to fraction form
    382,485.26/527,842.50 = 210,410.48/x
  3. Step 3: Cross multiply
    382,485.26x = 527,842.50 × 210,410.48
  4. Step 4: Simplify right side
    382,485.26x = 111,063,593,789.40
  5. Step 5: Solve for x
    x = 111,063,593,789.40/382,485.26
  6. Step 6: Final answer
    x = 290,373.53

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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.