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Finding the Fourth Proportional to 258,473.50, 387,710.25 and 71,485

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Solution

The fourth proportional to 258,473.50, 387,710.25 and 71,485 is: 107,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,473.50 : 387,710.25 = 71,485 : x
  2. Step 2: Convert to fraction form
    258,473.50/387,710.25 = 71,485/x
  3. Step 3: Cross multiply
    258,473.50x = 387,710.25 × 71,485
  4. Step 4: Simplify right side
    258,473.50x = 27,715,467,221.25
  5. Step 5: Solve for x
    x = 27,715,467,221.25/258,473.50
  6. Step 6: Final answer
    x = 107,227.50

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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.