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Finding the Fourth Proportional to 344,224.50, 475,074.36 and 193,321.50

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Solution

The fourth proportional to 344,224.50, 475,074.36 and 193,321.50 is: 266,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,224.50 : 475,074.36 = 193,321.50 : x
  2. Step 2: Convert to fraction form
    344,224.50/475,074.36 = 193,321.50/x
  3. Step 3: Cross multiply
    344,224.50x = 475,074.36 × 193,321.50
  4. Step 4: Simplify right side
    344,224.50x = 91,842,087,886.74
  5. Step 5: Solve for x
    x = 91,842,087,886.74/344,224.50
  6. Step 6: Final answer
    x = 266,808.69

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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.