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Finding the Fourth Proportional to 269,021.31, 403,322.76 and 174,050.82

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Solution

The fourth proportional to 269,021.31, 403,322.76 and 174,050.82 is: 260,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,021.31 : 403,322.76 = 174,050.82 : x
  2. Step 2: Convert to fraction form
    269,021.31/403,322.76 = 174,050.82/x
  3. Step 3: Cross multiply
    269,021.31x = 403,322.76 × 174,050.82
  4. Step 4: Simplify right side
    269,021.31x = 70,198,657,102.66
  5. Step 5: Solve for x
    x = 70,198,657,102.66/269,021.31
  6. Step 6: Final answer
    x = 260,940.88

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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.