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Finding the Fourth Proportional to 534,125, 737,092.50 and 295,661

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Solution

The fourth proportional to 534,125, 737,092.50 and 295,661 is: 408,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,125 : 737,092.50 = 295,661 : x
  2. Step 2: Convert to fraction form
    534,125/737,092.50 = 295,661/x
  3. Step 3: Cross multiply
    534,125x = 737,092.50 × 295,661
  4. Step 4: Simplify right side
    534,125x = 217,929,505,642.50
  5. Step 5: Solve for x
    x = 217,929,505,642.50/534,125
  6. Step 6: Final answer
    x = 408,012.18

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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.