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Finding the Fourth Proportional to 341,227.74, 470,904.39 and 190,321.50

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Solution

The fourth proportional to 341,227.74, 470,904.39 and 190,321.50 is: 262,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,227.74 : 470,904.39 = 190,321.50 : x
  2. Step 2: Convert to fraction form
    341,227.74/470,904.39 = 190,321.50/x
  3. Step 3: Cross multiply
    341,227.74x = 470,904.39 × 190,321.50
  4. Step 4: Simplify right side
    341,227.74x = 89,623,229,861.39
  5. Step 5: Solve for x
    x = 89,623,229,861.39/341,227.74
  6. Step 6: Final answer
    x = 262,649.31

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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.