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Finding the Fourth Proportional to 561,233.25, 842,059.02 and 336,754.80

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Solution

The fourth proportional to 561,233.25, 842,059.02 and 336,754.80 is: 505,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,233.25 : 842,059.02 = 336,754.80 : x
  2. Step 2: Convert to fraction form
    561,233.25/842,059.02 = 336,754.80/x
  3. Step 3: Cross multiply
    561,233.25x = 842,059.02 × 336,754.80
  4. Step 4: Simplify right side
    561,233.25x = 283,567,416,868.30
  5. Step 5: Solve for x
    x = 283,567,416,868.30/561,233.25
  6. Step 6: Final answer
    x = 505,257.69

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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.